.oooo T-Mobile Wi-Fi Fr T 85% 2:08 PM edugen.wileyplus.com Print by: AHMED ALFAI

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.oooo T-Mobile Wi-Fi Fr T 85% 2:08 PM edugen.wileyplus.com Print by: AHMED ALFAIFI PHYS 1304 002: Introductory Electricity and Magnetism Hw10 Chapter 30, Problem 057 In the figure, R 15.00, L 6.0 H, the ideal battery has E 1.0 V, and the fuse in the upper branch is an ideal 3.0Afuse. It has zero resistance as long as the current through it remains less than 3.0 A. If the current reaches 3.0 A, the fuse "blows" and thereafter has infinite resistance. Switch S is closed at time t 0. When does the fuse blow? (Hint: I-i 1-e a) does not apply, Rethink .RI-e) Fuse (a) t the tolerance is +/-2% Question Artemptst eers wsed

Explanation / Answer

Given that R= 15.0 ohm , L= 6.0 H

And E= 1.0 V

value of current (i) = 3.0 A

Since the resistor is in parallel with the fuse, which is 0 ohms, we can ignore the resistor.

Hence the circuit is purely inductive circuit

in a purely inductive cct,

E= L*(di/dt)

so, time = current*inductance / voltage

T= L*i/E

so, T= (6 *3)/1 = 18 seconds

hence the fuse will blow in 18 seconds.

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