Question:

As shown in the figure, a network of resistors is connected to a battery of $24 V$ with an internal resistance of $3 \Omega$ The currents through the resistors $R_4$ and $R_5$ are $I_4$ and $I_5$ respectively The values of $I _4$ and $I _5$ are:$(24 V , 3 \Omega)$
As shown in the figure, a network of resistors is connected to a battery of  24V with an internal resistance of  3 Ω 3Ω

Updated On: Mar 19, 2025
  • $I _4=\frac{8}{5} A$ and $I _5=\frac{2}{5} A$
  • $I _4=\frac{6}{5} A$ and $I _5=\frac{24}{5} A$
  • $I _4=\frac{2}{5} A$ and $I _5=\frac{8}{5} A$
  • $I _4=\frac{24}{5} A$ and $I _5=\frac{6}{5} A$
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

The equivalent resistance of the circuit is calculated as: \[ R_{\text{eq}} = 3 + 1 + 2 + 4 + 2 = 12 \, \Omega \] The current through the battery is: \[ I = \frac{24}{12} = 2 \, \text{A} \] The current \(I_4\) through \(R_4\) is given by: \[ I_4 = \frac{R_5}{R_4 + R_5} \times 2 = \frac{5}{20 + 5} \times 2 = \frac{2}{5} \, \text{A} \] The current \(I_5\) through \(R_5\) is: \[ I_5 = 2 - I_4 = 2 - \frac{2}{5} = \frac{8}{5} \, \text{A} \] Thus, the correct values are \(I_4 = \frac{2}{5} \, \text{A}\) and \(I_5 = \frac{8}{5} \, \text{A}\).
Was this answer helpful?
6
2

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.