(a)
The initial rate of increase of current.
(a)
Answer to Problem 63P
The initial rate of increase of current is
Explanation of Solution
Given:
The inductance of a coil is
The resistance of a resistor is
The voltage of ideal battery is
Formula used:
The expression for the current in the circuitis given by,
Calculation:
The initial rate of increase of current is calculated by differentiating the current with time.
Solve further as,
Conclusion:
Therefore, the initial rate of increase of current is
(b)
The rate of increase of current when the current is half of its steady-state value
(b)
Answer to Problem 63P
The rate of increase of current when the current is half of its steady-state value is
Explanation of Solution
Formula used:
The expression for the current in the circuit is given by,
Calculation:
According to the given condition,
The rate of increase of current at
Solve further as,
Conclusion:
Therefore, the rate of increase of current when the current is half of its steady-state value is
(c)
The steady state value of current.
(c)
Answer to Problem 63P
The steady state value of current is
Explanation of Solution
Formula used:
The expression for the steady state value of current is given by,
Calculation:
The steady state value of current is calculated as,
Conclusion:
Therefore, the steady state value of current is
(d)
The time taken of the current to reach
(d)
Answer to Problem 63P
The time taken of the current to reach
Explanation of Solution
Formula used:
The expression for the current in the circuit is given by,
Calculation:
According to the given condition,
Solve further as,
Conclusion:
Therefore, the time taken of the current to reach
Want to see more full solutions like this?
Chapter 28 Solutions
Physics for Scientists and Engineers
- A 120-V, series-wound motor has a field resistance of 80 and an armature resistance of 10. When it is operating at full speed, a back emf of 75 V is generated, (a) What is the initial current drawn by the motor? When the motor is operating at full speed, where are (b) the current drawn by the motor, (c) the power output of the source, [ d) the power output of the motor, and (e) the power dissipated in the two resistances?arrow_forwardCheck Your Understanding For the circuit of in Figure 14.12(b), show that when steady state is reached, the difference in the total energies produced by the battery and dissipated in the resistor is equal to the energy stored in the magnetic field of the coil.arrow_forwardA steady current flows through a circuit with a large induct3ve time constant. When a switch in the circuit is opened, a large spark across the terminals of the switch. Explain.arrow_forward
- . The generator at a large power plant has an output of 1,000,000 kW at 24,000 V. (a) If it were a DC generator, what would he the current in it? (b) What is its energy output each day—in joules and in kilowatt—hours? (c) If this energy is sold at a price of 10 cents per kilowatt-hour, how much revenue does the power plant generate each day?arrow_forwardAn inductor is connected across the terminals of a battery. Does the current stance of the battery? Does the time required for the current to reach its final value depend on this resistance?arrow_forwardThe coil whose lengthwise cross section is shown in the accompanying figure carries a currents I and has N evenly spaced turns distributed along the length I. Evaluate BdI for the paths indicated.arrow_forward
- The armature and field coils of a series-wound motor have a total resistance of 3.0 . When connected to a 120-V source and running at normal speed, the motor draws 4.0 A. (a) How large is tire back emf? (b) What current will the motor draw just after it is turned on? Can you suggest a way to avoid this large initial current?arrow_forward(!) THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. ww C C In the circuit shown in the figure, the S switch is closed at t = 0 and the capacitors, which are completely empty, begin to fill. Here E = 35 V, C = 2 µF andR = 50 N. R A) What is the time constant of the circuit, T, in units of microseconds? Answer: B) When t = T, what is the total charge, in units of microcoulomb, accumulated in the capacitors? Answer:arrow_forwardA coil of 40 mH is crossed by a current of 2 A. The coil is connected to a resistance of 25 while the current is falling. (a) What is the time constant t of the circuit? (b) What is the current in the coil after a time of 1.6 ms? (c) What is the voltage across the resistor after 1.6 ms? (d) What is the voltage across the coil after 1.6 ms?arrow_forward
- The current in an RL circuit drop from 1A to 0.5A in the first secondfollowing removal of the battery from the circuit. If L is 10H, find the R in thecircuit.arrow_forward() THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. R ww C C In the circuit shown in the figure, the S switch is closed at t = 0 and the capacitors, which are completely empty, begin to fill. Here E = 40 V, C = 7 µF and R = 80 N. A) What is the time constant of the circuit, T, in units of microseconds? Answer: B) When t = T, what is the total charge, in units of microcoulomb, accumulated in the capacitors? Answer:arrow_forwardTwo coils are connected in series in one gap of the Whetstone's meter bridge and null point is obtained at the centre of the wire, with the resistance of 100 N in the other gap. When the two coils are connected in parallel in same gap, the known resistance is to be changed by 84 2 to obtained the null point at the centre again. Calculate the resistance of the two coils.arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill