A 24 V battery of internal resistance 4 Ω is connected to a variable resistance. If the rate of heat production in the resistor is maximum, then the current in the circuit is

Question

A 24 V battery of internal resistance 4 Ω is connected to a variable resistance. If the rate of heat production in the resistor is maximum, then the current in the circuit is (A) 2 A (B) 3 A (C) 4 A (D) 6 A

Tardigrade Admin · Accepted Answer

When R=r (power dissipated is maximum) <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-klac4quw4q62.png" /> ∴ R=4Ω ∴ I=(V/Rn e t)= (24/8)= 3 A

Q. A $24 V$ battery of internal resistance $4 Ω$ is connected to a variable resistance. If the rate of heat production in the resistor is maximum, then the current in the circuit is

$2 A$

$3 A$

$4 A$

$6 A$

When $R = r$ (power dissipated is maximum)

$∴ R = 4Ω$
$∴ I = \frac{V}{R _{n e t}} = \frac{24}{8} = 3 A$

Q. A 24V battery of internal resistance 4Ω is connected to a variable resistance. If the rate of heat production in the resistor is maximum, then the current in the circuit is

2A

3A

4A

6A