A conductor of 2 ohms resistance in series is connected with a combination of two resistorsof 4 ohms each in parallel as shown in the figure.If the input provided by the battery is 24 volts, find:a. the equivalent resistance in the circuitb. the total current flowing in the circuitc. the potential difference across 4 ohms resistance

To find the equivalent resistance in the circuit, we need to calculate the total resistance.

Step 1: Calculate the resistance of the parallel combination of the two 4-ohm resistors. In a parallel combination, the equivalent resistance (Rp) is given by the formula:

1/Rp = 1/R1 + 1/R2

Substituting the values, we get:

1/Rp = 1/4 + 1/4 1/Rp = 2/4 1/Rp = 1/2

Taking the reciprocal of both sides, we find:

Rp = 2 ohms

Step 2: Calculate the total resistance (Rt) by adding the resistance of the conductor (2 ohms) to the equivalent resistance of the parallel combination (2 ohms):

Rt = 2 + 2 Rt = 4 ohms

Therefore, the equivalent resistance in the circuit is 4 ohms.

To find the total current flowing in the circuit, we can use Ohm's Law:

I = V/R

where I is the current, V is the voltage, and R is the resistance.

Step 3: Substitute the values into the formula:

I = 24/4 I = 6 amps

Therefore, the total current flowing in the circuit is 6 amps.

To find the potential difference across the 4-ohm resistance, we can again use Ohm's Law:

V = I * R

Step 4: Substitute the values into the formula:

V = 6 * 4 V = 24 volts

Therefore, the potential difference across the 4-ohm resistance is 24 volts.