Plot the sketch of given function f ( t ) over the interval 0 s ≤ t ≤ ∞ .

Question

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Answer 1

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

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Answer 2

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

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Answer 3

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

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Answer 4

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

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Answer 5

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 6

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

Answer 7

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

Answer 8

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 13

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

Answer 14

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 19

Ch. 12.4 - Prob. 1AP Ch. 12.5 - Prob. 2AP Ch. 12.7 - Prob. 3AP Ch. 12.7 - Prob. 4AP Ch. 12.7 - Prob. 5AP Ch. 12.7 - Prob. 6AP Ch. 12.7 - Prob. 7AP Ch. 12.7 - Prob. 8AP Ch. 12.7 - Prob. 9AP Ch. 12.8 - Use the initial- and final-value theorems to find...

Plot the sketch of given function f ( t ) over the interval 0 s ≤ t ≤ ∞ .

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Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

Explanation of Solution

Write the expression for the given function f(t) using the concept of window function.

Answer to Problem 1P

Explanation of Solution

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Chapter 12 Solutions