1. a 15.0 kω resistor is hooked up to a 45.0 v battery in a circuit with a switch.
a.) draw a circuit diagram for the circuit described. label all parts and values.
b.) what is the current flowing through the resistor?
c.) what is the power dissipated by the resistor? 2. a 10.0 ω resistor is hooked up in series with an 8.0 ω resistor followed by a 27.0 ω resistor. the circuit is powered by a 9.0 v battery.
a.) draw a labeled circuit diagram for the circuit described.
b.) calculate the equivalent resistance.
c.) calculate the voltage drop across each resistor in the circuit. 3. a 12.0 v battery is hooked up with three resistors (r1, r2, r3) in parallel with resistances of 2.0 ω, 5.0 ω, and 10.0 ω, respectively.
a.) draw a labeled circuit diagram for the circuit described.
b.) calculate the equivalent resistance.
c.) calculate the current passing through each resistor in the circuit.

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.

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0.19 m/s and 0.45 m/s