Chapter 23.1, Problem 24SSC

(a)

To determine

the current through the wire.

Answer to Problem 24SSC

The current in the wire is zero.

Explanation of Solution

Given:

Four resistors are connected.

The circuit diagram is

  

Calculation:

As the resistors on both of the line AB are identical, the point A and B are at the same potential. As there is no potential difference between the points A, B , so there will be no current in the wire connecting these two points. Hence, the current in the wire is zero.

Conclusion:

Hence, the current in the wire is zero.

(b)

To determine

the current through each resistor.

Answer to Problem 24SSC

The current through each resistor doesn’t vary.

Explanation of Solution

Given:

Four resistors are connected.

The circuit diagram is

  

Calculation:

As there is no current through the wire connecting AB, the circuit identical to the one without the wire. Hence, the wire doesn’t make any difference in the circuit. So, the current through resistor doesn’t vary.

Conclusion:

Hence, the current through each resistor doesn’t vary.

(c)

To determine

the current through the battery.

Answer to Problem 24SSC

Current drawn from the battery also doesn’t change.

Explanation of Solution

Given:

Four resistors are connected.

The circuit diagram is

  

Calculation:

The current drawn from the battery depends on the voltage of the battery and the effective resistance of the circuit only. The effective resistance of the circuit with the wire is equal to that of the circuit without the wire which is equal to R. As the effective resistance of the circuit doesn’t change, the current drawn from the battery also doesn’t change.

Conclusion:

Hence, current drawn from the battery also doesn’t change.

(d)

To determine

the potential difference across each resistor.

Answer to Problem 24SSC

The potential difference across each resistor remains the same.

Explanation of Solution

Given:

Four resistors are connected.

The circuit diagram is

  

Calculation:

The potential difference across each resistor remains the same.

Conclusion:

Hence, the potential difference across each resistor remains the same.