Current Electricity 3 Question 12

11. In the circuit shown in figure the heat produced in the $5 \Omega$ resistor due to the current flowing through it is $10 cal / s$.

(1981, 2M)

The heat generated in the $4 \Omega$ resistor is

(a) $1 cal / s$

(b) $2 cal / s$

(c) $3 cal / s$

(d) $4 cal / s$

Objective Questions II (One or more correct option)

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Solution:

  1. Since, resistance in upper branch of the circuit is twice the resistance in lower branch. Hence, current there will be half.

Now, $\quad P _4=(i / 2)^{2}(4)$

$\left(P=i^{2} R\right)$

$P _5=(i)^{2}(5)$

or $\quad \frac{P _4}{P _5}=\frac{1}{5}$

$$ \therefore \quad P _4=\frac{P _5}{5}=\frac{10}{5}=2 cal / s $$

$\therefore$ Correct option is (b).



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