What direct current will produce the same amount of thermal energy, in a particular resistor, as an alternating current that has a maximum value of 2.59 A?

The direct current that will produce the same amount of thermal energy is 1.83 A

Explanation:

Given;

maximum current, I₀ = 2.59 A

The average power dissipated in a resistor connected in an AC source is given as;

Where;

The average power dissipated in a resistor connected in a DC source is given as;

where;

is direct current

Solve equation (1) and (2) together;

Therefore, the direct current that will produce the same amount of thermal energy is 1.83 A