a cool easy problem 4

When a voltage of 20 V 20 V is applied between two ends of a coil, 800 c a l s 800 \frac{cal}{s} of heat are produced.

What is the resistance of the coil?

  • 1 c a l = 4.2 J 1 cal = 4.2 J
1.2 ohm 0.12 ohm 1.4 ohm 0.14 ohm

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1 solution

We know that power P = V 2 R P= \dfrac {V^2}{R} , where V V is the voltage applied and R R the resistance of the conductor, in this case, the coil.

R = V 2 P = 2 0 2 800 × 4.2 = 400 3360 = 0.12 Ω \Rightarrow R = \dfrac {V^2}{P} = \dfrac {20^2} {800\times 4.2} = \dfrac {400}{3360} = \boxed{0.12} \space \Omega

Great sir...

shakthiumadevi sathiyan - 6 years, 5 months ago

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