Question

A battery of 24 volt and internal resistance 4 ohm is connected to a variable resistor the rate of heat produced in the resistor will be maximum when current flowing through the resistor is

Answer 1

Answer:The correct answer is 3Amphere

Explanation:internal Resistance (r)=4ohm

External Resistance (R)=4ohm

Then,total resistance=(R+r)=(4+4)ohm=8ohm.

We know,I =total Emf/total resistance=24/8=3volt.

Answer 2

Answer:

A battery of 24 volts and internal resistance 4 ohm will have a maximum current of 3 Ampere.

Explanation:

• Maximum Power Transfer Theorem states that' " Maximum power put is obtained from a circuit when the value of load resistance is equal to the magnitude of the internal resistance of the circuit. "

Given that :

• Internal resistance of circuit, R(internal) = 4 ohms
• Voltage applied at the circuit = 24 volts
• According to Maximum Power Transfer Theorem, internal resistance should be equal to load resistance so that power output should be maximum.
• This gives load resistance, R(load) = R(internal) = 4 ohms.
• Now, total resistance of the circuit, R is R = R(internal) + R(load).
• R = 4 + 4 = 8 ohms.
• Maximum current, i flowing in the circuit is

$i = \frac{applied \: voltage}{total \: resistance} \\ = \frac{24}{8} \\ = 3 \: ampere$

• Hence, maximum current flowing in the circuit is 3 Ampere .