Question

In the circuit shown in figure, the heat produced in 5 ohm resistance is 10 calories per second. The heat produced in 4 ohm resistance is

• A. 1 cal/sec
• B. 2 cal/sec
• C. 3 cal/sec
• D. 4 cal/sec

Answer 1

Answer: (B)

2 cal/sec

Answer 2

Ratio of currents $\frac{i_{1}}{i_{2}} = \frac{10}{5} = \frac{2}{1}$ by using H = i ² Rt

⇒ $\frac{H_{1}}{H_{2}} = \left( \frac{i_{1}}{i_{2}} \right)^{2} \times \frac{R_{1}}{R_{2}} \Rightarrow \frac{10}{H_{2}} = \left( \frac{2}{1} \right)^{2} \times \frac{5}{4} \Rightarrow H_{2} = 2cal/sec$