In a Wheatstone bridge, if the battery voltage is 12V and the bridge is balanced, what is the voltage across each resistor?

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Q: In a Wheatstone bridge, if the battery voltage is 12V and the bridge is balanced, what is the voltage across each resistor?

Solution: In a balanced Wheatstone bridge, the voltage is divided equally across the resistors, so each resistor will have 6V.

Steps: 6

Step 1: Understand that a Wheatstone bridge has four resistors arranged in a diamond shape.
Step 2: Know that when the bridge is balanced, the voltage across the two pairs of resistors is equal.
Step 3: Recognize that the total voltage from the battery is 12V.
Step 4: Since the bridge is balanced, the voltage divides equally between the two pairs of resistors.
Step 5: Calculate the voltage across each pair of resistors by dividing the total voltage by 2: 12V / 2 = 6V.
Step 6: Conclude that each resistor in the balanced Wheatstone bridge has 6V across it.