Power In Electric Circuits

Battery Calculation: Equivalent Emf, Internal Resistance, and Current

(i): Calculating the Equivalent Emf

The two batteries are connected in parallel, so the equivalent emf is calculated using the formula:

Given values:

Substitute the values into the equation:

Thus, the equivalent emf of the combination is .

(ii): Calculating the Equivalent Internal Resistance

The equivalent internal resistance is given by:

Substitute the values:

Thus, the equivalent internal resistance of the combination is .

(iii): Calculating the Total Current

The total resistance in the circuit is the sum of the internal resistance and the external resistor . Thus, the total resistance is:

Using Ohm's law, the current drawn from the combination is:

Thus, the current drawn from the combination is .