Question:

A battery of internal resistance $4\Omega$ is connected to the network of resistances as shown in figure. In order that the maximum power can be delivered to the network, the value of R in $2\Omega$ should be

Updated On: Jun 23, 2023
  • $\frac{4}{9}$
  • 2
  • $\frac{8}{3}$
  • 18
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The Correct Option is B

Solution and Explanation

The given circuit is a balanced Wheatstone's bridge.
Thus, no current will flow across 6R of the side CD. The given circuit will now be equivalent to
For maximum power, net external resistance
= Total internal resistance
or 2R = 4 or R = $2\Omega$
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Concepts Used:

Current Electricity

Current electricity is defined as the flow of electrons from one section of the circuit to another.

Types of Current Electricity

There are two types of current electricity as follows:

Direct Current

The current electricity whose direction remains the same is known as direct current. Direct current is defined by the constant flow of electrons from a region of high electron density to a region of low electron density. DC is used in many household appliances and applications that involve a battery.

Alternating Current

The current electricity that is bidirectional and keeps changing the direction of the charge flow is known as alternating current. The bi-directionality is caused by a sinusoidally varying current and voltage that reverses directions, creating a periodic back-and-forth motion for the current. The electrical outlets at our homes and industries are supplied with alternating current.