Problem 41.
A 100turn, the 10cmdiameter coil has 20ohm resistance. A magnetic field is perpendicular to the coil. At what rate must the magnetic field increase to induce 2 A current in the coil.
Solution
Problem 42.
A 4.0 cm x 4.0 cm square loop has a resistance of 5 ohm. One edge of the loop is parallel to a long straight wire and is at a distance of 10 cm from the wire. The current in the wire is increased at the rate of 50 A/s. What is the current in the loop?
Solution
Problem 43.
A rectangular loop is moving at a constant speed of 10 m/s (see figure) away from a long straight wire. A loop has a resistance of 20 ohm. What is the induced current in the loop at the moment of time shown in the figure?
Solution
Problem 44.
A small 1mmdiameter circular loop is at the center of a large 20cmdiameter loop. Both loops lie in the same plane. The current in outer loop changes from 2 A to 10 A in 5 seconds. What is the induced current in the inner loop if its resistance is 1 ohm?
Solution
Problem 45.
A square loop (see figure) moves into 0.5 T magnetic field at a constant speed of 5 m/s. Assuming that the loop enters the field at 0 s, find the induced current in the loop as a function of time. The resistance of the loop is 10 ohm.
Solution
Problem 46.
A magnetic field inside a 5cmdiameter solenoid varies sinusoidally between 1 T and 3 T at a frequency of 20 Hz. Find the electric field strength as a function of time at a point 2 cm from the solenoid axis.
Solution
Problem 47.
A 4cmdiameter solenoid has 2000 turns per meter. At a distance of 1 cm from the solenoid axis, the strength of an induced electric field is . What is the rate of change of the current through the solenoid?
Solution
Problem 48.
A solenoid has an emf of 10 V when the current through it changes at a rate of 5 A/s. Find the number of turns of the solenoid if a steady current of 0.5 A produces a flux of per turn.
Solution
Problem 49.
The current through 10 H inductor changes with time as , where the current is in A and the time is in seconds. Find the potential difference across the inductor.
Solution
Problem 50.
An LC circuit consists of 10 mH inductor and capacitor. The current in the circuit has its maximum value of 2 A at . How long is it until the capacitor is fully charged? What is the maximum charge on the capacitor?
Solution
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