High School

To a 6 V battery, calculate:

(a) The total resistance of the circuit.
(b) The current through the circuit.
(c) The potential difference across the electric lamp and conductor.

Answer :

Final answer:

To calculate the total resistance, add the resistance of the electric lamp and the conductor. To find the current, divide the voltage by the total resistance. The potential difference across the lamp is the current multiplied by the lamp's resistance, and the potential difference across the conductor is the current multiplied by the conductor's resistance.

Explanation:

(a) Total Resistance of the Circuit:

To calculate the total resistance, we need to consider the resistance of the electric lamp and the conductor. Let's assume the resistance of the electric lamp is R1 and the resistance of the conductor is R2. The total resistance, RT, is given by RT = R1 + R2.

(b) Current Through the Circuit:

Using Ohm's Law, we can calculate the current through the circuit. Ohm's Law states that I = V / R, where I is the current, V is the voltage, and R is the resistance. In this case, the current through the circuit is given by I = 6 / RT.

(c) Potential Difference across the Electric Lamp and Conductor:

The potential difference (voltage) across the electric lamp is given by V1 = I * R1, and the potential difference across the conductor is given by V2 = I * R2.