Problem 31.
The magnetic field (see figure) is increasing at 0.3 T/s rate. What is the current in 5cmdiameter loop? The loop’s resistance is 5 ohm.
Solution
Problem 32.
The current in 10cmdiameter loop (see figure) is 0.02 A. The resistance of the loop is 10 Ohm. Find the rate of change of the magnetic field strength.
Solution
Problem 33.
The loop is bushed into a region of constant magnetic field of 0.5 T (see figure) with constant speed of 5 m/s. What is the magnitude of the current in the loop? The resistance of the loop is 10 ohm.
Solution
Problem 34.
What is the potential difference across a 5 mH inductor if the current through the inductor increases from 0.1 A to 0.8 A in 0.01 s?
Solution
Problem 35.
A 50 mH inductor is connected to 10 V battery. The resistance of the inductor is 5 ohm. What is the energy stored in the inductor?
Solution
Problem 36.
How much energy is stored in a solenoid that carries a current of 2 A? The solenoid has 1000 turns of wire, its diameter is 2 cm and its length is 10 cm.
Solution
Problem 37.
Find the time constant of the circuit shown in the figure.
Solution
Problem 38.
What is the time constant of the circuit shown in the figure?
Solution
Problem 39.
A 2cmdiameter coil has 100 turns. A magnetic field, which is perpendicular to the coil, has the following time dependence: , where is in tesla and time is in seconds. Find the induced current in the coil as a function of time. The resistance of the coil is 5 ohm.
Solution
Problem 40.
A 50turn coil is at rest in a horizontal plane. A magnetic field away from the vertical direction decreases from 1 T to 0.5 T in 0.2 seconds. What is the induced emf in the coil if the diameter of the coil is 10 cm?
Solution
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