In the circuit shown, the heat produced in the 5 ohm resistor due to current flowing through it, is 10 calories per second. Then the heat generated in the 4 ohm resistor is:
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4
H = I2
Rt (H/t) = I2R for 5Ω,
(H/t) = 10 cal
∴ 10 = I12 × 5 I1 = √2A
Now V = I1(5) = I2(4 + 6)
∴ 5I1 = 10I2
∴ I2 = (I1/2) = (√2/2) = (1/√2)A
Hence heat in 4Ω resistor per second = (H/t) = I22
R = (1/√2)2 × 4 = 2 cal
hope it helps you
Answered by
13
correct option (B) 2 calorie per sec Explanation: H = I2 Rt (H/t) = I2R for 5Ω, (H/t) = 10 cal ∴ 10 = I12 × 5 I1 = √2A Now V = I1(5) = I2(4 + 6) ∴ 5I1 = 10I2 ∴ I2 = (I1/2) = (√2/2) = (1/√2)A Hence heat in 4Ω resistor per second = (H/t) = I22 R = (1/√2)2 × 4 = 2
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