If the voltage across a circuit element of constant resistance is doubled, how is the current through the circuit element affected

The current through the circuit element will also be doubled.

Explanation:

The relationship between voltage and current of a circuit element is given by Ohm's Law. According to Ohm's Law:

Voltage = (Resistance)(Current)

If the resistance of the element is kept constant, the relation between Voltage and Current through that element becomes as follows:

Voltage = (Constant)(Current)

Voltage α Current

Thus, the voltage is directly proportional to the current for constant value of the resistance.

Therefore, when the voltage across a circuit element of constant resistance is doubled, the current through the circuit element will also be doubled.