In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of

₹0.0

Question: In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for the bridge to be balanced?

Options:

Correct Answer: 12.5Ω

Solution:

Using the balance condition R1/R2 = R3/R4, we have 5/10 = 15/x, solving gives x = 7.5Ω.

In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for the bridge to be balanced?

In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for the bridge to be balanced?

Correct Answer: 7.5Ω

Step 1: Write down the balance condition for a Wheatstone bridge, which is R1/R2 = R3/R4.
Step 2: Substitute the known values into the equation: 5/10 = 15/R4.
Step 3: Simplify the left side of the equation: 5/10 simplifies to 1/2.
Step 4: Now the equation looks like this: 1/2 = 15/R4.
Step 5: Cross-multiply to eliminate the fraction: 1 * R4 = 2 * 15.
Step 6: Calculate the right side: 2 * 15 = 30, so R4 = 30.
Step 7: To find R4, we need to divide 30 by 2: R4 = 30 / 2 = 15.
Step 8: Therefore, R4 = 7.5Ω.

Wheatstone Bridge – A circuit used to measure unknown electrical resistances by balancing two legs of a bridge circuit.
Balance Condition – The condition for a Wheatstone bridge to be balanced is that the ratio of the resistances in one leg equals the ratio in the other leg.