Consider a 200 μF capacitor charged to an initial voltage of 1800 V. If it loses 85% of its charge within 25 ms when discharged through a certain component, determine the resistance of this component.

In a specific circuit arrangement, a 25 μF capacitor initially charged to 10 V is linked in parallel with a resistor. As the capacitor gradually discharges, its stored energy decreases by 60% within a time span of 0.3 s. Determine the resistance value required for this circuit.

Following the initial charging of a 200 μF capacitor to 12 V, it is connected in parallel with a 3000 Ω resistor. The capacitor discharges through the resistor, although at a slower rate compared to a direct wire connection of the plates. If the fully charged capacitor is connected to the resistor at t = 0 s, determine the time at which the capacitor voltage decreases by a quarter to reach 9.0 V.

Determine the current that would flow through a 3.0-meter-long wire with a radius of 0.25 mm, which has a resistivity described by the equation ρ(x) = (3.0 × 10^-7 Ω•m) + (4.0 × 10^-7 Ω)x, when it is connected to a 12.0 V battery.

Determine the unknown resistance R_a in the electric circuit shown below.

A 1.5-V AA battery is powering a small LED light with a resistance of 5 Ω. When the LED light is on, the voltage across the battery terminals is measured to be 1.3 V. Calculate the internal resistance of the battery.