When a certain current is passed in the circuit as shown in figure, 10 kcal of heat is produced in 5 Ω resistance. How much heat is produced in 4 Ω resistance?

4 kcal

2 kcal

5 kcal

3 kcal

Solution

2 kcal

Heat produced in 5Ω = 10 kcal

Now from the relation

$H_{1} = i_{1}^{2} R_{1} t \Rightarrow i_{1}^{2} = \frac{H_{1}}{R_{1} t} \Rightarrow i_{1}^{2} = \frac{H_{1}}{5 t} Again 5 \times i_{1} = 10 \times i_{2} \Rightarrow i_{2} = \frac{i_{1}}{2}$ ....(1)

Now heat produced in 4Ω resistance is

$H_{2} = i_{2}^{2} R_{2} t \Rightarrow i_{2}^{2} = \frac{H_{2}}{R_{2} t} \Rightarrow i_{2}^{2} = \frac{H_{2}}{4 t} \Rightarrow \frac{i_{1}^{2}}{4} = \frac{H_{2}}{4 t} \Rightarrow i^{2} = \frac{H_{2}}{t} . . . . (2)$

$Since i_{2} = \frac{i_{1}}{2} From equation (1) and (2) \frac{H_{2}}{t} = \frac{H_{1}}{t} or H_{2} = \frac{H_{1}}{5} = \frac{10}{2} = 2 kcal$

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Current Electricity

When a certain current is passed in the circuit as shown in figure, 10 kcal of heat is produced in 5 Ω resistance. How much heat is produced in 4 Ω resistance?

4 kcal

2 kcal

5 kcal

3 kcal

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Current Electricity

When a certain current is passed in the circuit as shown in figure, 10 kcal of heat is produced in 5 Ω resistance. How much heat is produced in 4 Ω resistance? 4 kcal 2 kcal 5 kcal 3 kcal

Some More Questions From Current Electricity Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

When a certain current is passed in the circuit as shown in figure, 10 kcal of heat is produced in 5 Ω resistance. How much heat is produced in 4 Ω resistance?

4 kcal

2 kcal

5 kcal

3 kcal