Current Electricity Ques 60
- 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 $ $cal / s$
Show Answer
Answer:
Correct Answer: 60.(b)
Solution:
Formula:
- 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).
BETA
