Maximum current in circuit!

Electricity and Magnetism Level 4

In the figure shown magnetic field B B is constant and uniform and in the direction perpendicular to the plane of paper. Velocity of a conducting wire Y Z YZ is varying with time as v = v 0 cos ⁡ ( ω t ) v = v_0 \ \cos (\omega t) . Find the value of ω \omega (in rad/sec \text{rad/sec} ) so that heat generated in circuit will be maximum (neglect friction and resistance of rails).


The answer is 7.

Nishant Rai by Nishant Rai , 25, India

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2 solutions

Nishant Rai
May 18, 2015

P R = I 2 R \huge P_R = I^2R

I is maximum at Resonance.

So ω = 1 L C = 7 r a d / s \huge \omega = \frac{1}{\sqrt{LC}} = 7rad/s

2 Helpful 0 Interesting 0 Brilliant 0 Confused

did exactly the same ⌣ ¨ \ddot \smile

Tanishq Varshney - 6 years ago

Easy as pie : ) :)

Keshav Tiwari - 6 years ago

I overthought it at first and started playing with modulus of impedance. Then, thought about phase and got the value ϕ = 0 \phi = 0 .

Kartik Sharma - 6 years ago
Jatin Narde
Oct 20, 2015

Question ad over revealing.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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