(a)
The equivalent resistance of the circuit.
(a)
Answer to Problem 1SP
The equivalent resistance is
Explanation of Solution
Given info: The resistances are
Write the equation to find the equivalent resistance.
Here,
Substitute
Conclusion:
Therefore, the equivalent resistance is
(b)
The total current flowing through the circuit.
(b)
Answer to Problem 1SP
The total current is
Explanation of Solution
Here the equivalent resistance of
Write the equation to find the equivalent resistance of the circuit.
Here,
Substitute
Write the equation to find the current.
Here,
Substitute
Conclusion:
Therefore, the current is
(c)
Current flowing through
(c)
Answer to Problem 1SP
Current is
Explanation of Solution
Write the equation to find current.
Here,
Substitute
Conclusion:
Therefore, the current flowing is
(d)
Power dissipated in
(d)
Answer to Problem 1SP
Power dissipated is
Explanation of Solution
Write the equation to find the current through
Here,
Substitute
Write the equation to find the power.
Here,
Substitute
Conclusion:
Therefore, the power consumed is
(e)
Is the current through eight ohm resistor greater than six ohm resistor?
(e)
Answer to Problem 1SP
Yes, it is greater.
Explanation of Solution
The current through eight ohm resistor is greater than the current flowing through six ohm resistor since the eight ohm resistor is connected serially and the six ohm resistor is connected parallel.
Conclusion:
Yes it is greater.
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