If the resistances in a Wheatstone bridge are equal, what is the current through

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Question: If the resistances in a Wheatstone bridge are equal, what is the current through the galvanometer?

Options:

Correct Answer: Zero

Solution:

If all resistances are equal, the bridge is balanced and the current through the galvanometer is zero.

If the resistances in a Wheatstone bridge are equal, what is the current through the galvanometer?

If the resistances in a Wheatstone bridge are equal, what is the current through the galvanometer?

Step 1: Understand what a Wheatstone bridge is. It is a circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Step 2: Identify the components of the Wheatstone bridge. It has four resistors (R1, R2, R3, R4) and a galvanometer (a device that measures current).
Step 3: Recognize that when all resistors are equal (R1 = R2 = R3 = R4), the bridge is said to be balanced.
Step 4: When the bridge is balanced, the voltage across the galvanometer is zero because the potential difference is equal on both sides.
Step 5: Since there is no voltage across the galvanometer, no current flows through it.
Step 6: Conclude that if all resistances are equal in a Wheatstone bridge, the current through the galvanometer is zero.

Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Balanced Bridge Condition – When the ratio of resistances in one leg of the bridge equals the ratio in the other leg, resulting in zero current through the galvanometer.