Question

Current flowing in a circuit depends on two variables. Identify these variables and their relationship to current.

Answer 1

Wow ! This question reads like it might have come from one of
Faraday or Maxwell's original laboratory notebooks.

Choice-A is the correct one, when you consider what "conductance"
means. Conductance is just 1/resistance .

So when you see
"A) Current is proportionate to the conductance of the circuit and
precisely proportional to the voltage applied across the circuit."

what it's saying is
"Current is inversely proportional to the resistance of the circuit, and
directly proportional to the voltage applied across the circuit."

If you write the equation for all those words, it looks like

I = V / R

and that's correct.

Answer 2

Answer: C) Current is inversely proportional to the resistance of the circuit and directly proportional to the voltage applied across the circuit.

Explanation:

Ohm's law states that current is directly proportional to the potential difference across the circuit i.e. voltage.

I ∝ V

⇒ V = I R

where R is the resistance.

Current also depends on resistance offered by the circuit.

So, more the potential difference, more the current but more the resistance offered by the circuit, lesser current would flow.

Current is inversely proportional to the resistance and directly proportional to the voltage across the circuit. Voltage is provided by a cell or a battery. Resistance is offered by the wire and the components connected in the circuit. Sometimes the batteries also have internal resistance which adds up.