Question:

The resistance of each arm of the wheat stone bridge is 10 ohms. A resistance of 10 ohm is connected in series with a galvanometer then the equivalent resistance across the battery will be :

Updated On: Nov 4, 2024
  • 10 ohm

  • 15 ohm

  • 20 ohm

  • 40 ohm

Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

The correct option is(A): 10 ohm.
In this scenario, where P, Q, S, and R all have values of 10Ω, and considering that \(\frac{Q}{P}=\frac{R}{S}\) = 1, we have a balanced Wheatstone bridge configuration. Consequently, there is no current flowing through the galvanometer. Since all the individual arm resistances are equal, the equivalent resistance of the bridge also remains at 10Ω.
Was this answer helpful?
3
3

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.