In a circuit with resistances of 10 ohms and 15 ohms energized at 60 volts, what is the current through the 15-ohm branch?

To determine the current through the 15-ohm branch in this circuit, we first need to identify the type of circuit configuration: series or parallel.

For this scenario, since the resistances of 10 ohms and 15 ohms are typically placed in parallel when no additional information is provided, we can use the formula for calculating the equivalent resistance in parallel circuits. The formula for two resistors in parallel is given by:

1/R_eq = 1/R_1 + 1/R_2.

Substituting the values into the formula gives:

1/R_eq = 1/10 + 1/15.

To solve this, we first need to find a common denominator, which in this case is 30:

1/R_eq = 3/30 + 2/30 = 5/30,

R_eq = 30/5 = 6 ohms.

Now armed with the equivalent resistance, we can calculate the total current flowing in the circuit using Ohm's Law (V = IR):

I_total = V / R_eq = 60 volts / 6 ohms = 10 A.

Next, we can determine the individual currents through each resistor. Since the resistors are in parallel, the current