1. An ideal solenoid is 0.4m long and has a radius of 9.8cm. It is wrapped with

Question

1. An ideal solenoid is 0.4m long and has a radius of 9.8cm. It is wrapped with 769 turns of wire carrying a current of 4.5A. What is the magnitude of the magnetic field in the interior of the solenoid?


2.A metal rod lies across frictionless parallel rails in a uniform magnetic field that points normal to the plane of the rails. The rails are connected at one end, but not the other, so that a current can pass through the rod. The rod moves to the right at speed v, so that the area enclosed by the current loop is increasing. In order for the emf around the circuit to be zero, the magnitude of the magnetic field should
Choose one answer.
A. not change Incorrect
B. increase linearly with time
C. decrease linearly with time
D. increase quadratically with time
E. decrease quadratically with time

Explanation / Answer

Given that The length of the solenoid, L = 0.4 m The radius of the solenoid, r = 9.8 cm = 0.098 m The number of turns, N = 769 Current in the solenoid, i = 4.5 A The magnetic field in the interior of the solenoid is given by the formula          B = 0Ni =  4 * 10^-7 * 769 * 4.5             = 0.0043 T

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