In a Wheatstone bridge, if the resistances are R1 = 2Ω, R2 = 3Ω, R3 = 4Ω, what i

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Question: In a Wheatstone bridge, if the resistances are R1 = 2Ω, R2 = 3Ω, R3 = 4Ω, what is the value of R4 for balance?

Options:

Correct Answer: 6Ω

Solution:

For balance, R4 must be 6Ω since 2/3 = 4/6.

In a Wheatstone bridge, if the resistances are R1 = 2Ω, R2 = 3Ω, R3 = 4Ω, what is the value of R4 for balance?

In a Wheatstone bridge, if the resistances are R1 = 2Ω, R2 = 3Ω, R3 = 4Ω, what is the value of R4 for balance?

Step 1: Understand that a Wheatstone bridge is used to measure unknown resistances by balancing two legs of a circuit.
Step 2: Identify the known resistances: R1 = 2Ω, R2 = 3Ω, and R3 = 4Ω.
Step 3: Recall the balance condition for a Wheatstone bridge, which states that R1/R2 = R3/R4.
Step 4: Substitute the known values into the balance condition: 2/3 = 4/R4.
Step 5: Cross-multiply to solve for R4: 2 * R4 = 3 * 4.
Step 6: Calculate the right side: 3 * 4 = 12.
Step 7: Now, the equation is 2 * R4 = 12.
Step 8: Divide both sides by 2 to find R4: R4 = 12 / 2.
Step 9: Calculate the final value: R4 = 6Ω.

Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Balance Condition – The condition for balance in a Wheatstone bridge is given by the ratio of the resistances in the two legs being equal.