High School

Calculate the current through the detector for an unbalanced Wheatstone Bridge when the 6 kilo-Ohms resistor is changed to 7 kilo-Ohms.

Answer :

Final answer:

The current through the detector in an unbalanced Wheatstone Bridge can be calculated using Ohm's Law and the concept of voltage division. When the 6 kilo-Ohms resistor is changed to 7 kilo-Ohms, the current through the detector can be determined by calculating the total resistance of the bridge, finding the voltage across the detector using voltage division, and then using the formula I = V / R to calculate the current.

Explanation:

In an unbalanced Wheatstone Bridge, the current through the detector is non-zero. The Wheatstone Bridge is a circuit used to measure unknown resistances by comparing them with known resistances. It consists of four resistors arranged in a diamond shape, with a detector connected between two junctions. When the bridge is balanced, the current through the detector is zero. However, when the bridge is unbalanced, a current flows through the detector.

To calculate the current through the detector, we can use Ohm's Law and the concept of voltage division. Ohm's Law states that the current flowing through a resistor is equal to the voltage across the resistor divided by its resistance. In this case, the detector is one of the resistors in the bridge.

Let's assume that the voltage across the detector is V and its resistance is R. According to Ohm's Law, the current through the detector can be calculated as:

I = V / R

Now, let's calculate the current through the detector when the 6 kilo-Ohms resistor is changed to 7 kilo-Ohms:

  1. First, calculate the total resistance of the bridge. The total resistance is the sum of all four resistors: 6 kilo-Ohms + 7 kilo-Ohms + R + R.
  2. Next, calculate the voltage across the detector. The voltage across the detector can be found using voltage division. The voltage across the detector is equal to the total voltage of the bridge multiplied by the ratio of the detector's resistance to the total resistance.
  3. Finally, substitute the values into the formula I = V / R to calculate the current through the detector.

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