2) The ATLAS detector at the Large Hadron Collider uses a supercon- ducting magn

Question

2) The ATLAS detector at the Large Hadron Collider uses a supercon- ducting magnet to bend charged particles into circular tracks. At the operating current of 21, 000A the magnet stored 1.1 × 109J of energy. What is the inductance of the superconducting solenoid used for the magnet?

(a) 1.2H

(b) 2.5H

(c) 5.0H

(d) 52, 000H

(e) 100, 000H

4)

A time varying current is applied to a commerical inductor with inductance L. The current varies as a function of time according to I(t) = ?t5 where ? is a constant. The emf across the inductor as a function of time is:

(a) ?L?t5.

(b) ?5L?t4.

(c) ?L?t4/5.

(d) ?5L?t6.

(e) Zero.

7)An inductor is connected to a battery through a resistor at time t = 0. Select the figure below that shows the time dependence of the current.

(a) Figure (a) (b) Figure (b) (c) Figure (c)

Explanation / Answer

2) E = 0.5 xL xi^2

substituting values we get L = 5H ( c option)

4) E = -L di/dt = -5Lyt^4 ( option b)

7) answer c

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