1. a 15.0 kω resistor is hooked up to a 45.0 v battery in a circuit with a switch.

Explanation:

(1). Given that,

Resistance

Voltage

Using ohm's law

(a). Draw a circuit

(b).The current is defined as:

.....(I)

Here, V = voltage

R = resistance

I = current

Put the value of V and R in equation (I)

The current is 0.003 A.

(c). The power dissipated by the resistor will be

The power dissipated by the resistor will be 0.135 Watt.

(2). Given that,

Resistance

Resistance

Resistance

Voltage

(a). Draw a circuit

(b). The equivalent circuit will be

The current is defined as:

.....(I)

Here, V = voltage

R = resistance

I = current

Put the value of V and R in equation (I)

The current is 0.2 A.

(c). The voltage drop across each resistor in the circuit

The voltage drop across 10.0 ohm resistor,

The voltage drop across 8.0 ohm resistor,

The voltage drop across 27.0 ohm resistor,

The voltage drop across each resistor in the circuit is 2 V, 1.6 V and 5.4 V.

(3). Given that,

Resistance

Resistance

Resistance

Voltage

(a). Draw a circuit

(b). The equivalent resistance will be

The equivalent resistance will be 1.25 ohm.

(c). The current passing through each resistor in the circuit.

The current passing through 2.0 ohm resistor

The current passing through 5.0 ohm resistor

The current passing through 10.0 ohm resistor

The current passing through each resistor in the circuit is 6 A, 2.4 A and 1.2 A.