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Questions and Answers

What is the formula to calculate power in a DC circuit?

P = R x I^2

P = V^2 / R

P = I / V

P = V x I (correct)

How many resistors are in the given DC circuit?

Two

Four (correct)

Three

One

What is the formula to calculate power dissipated by a resistor?

P = V x I

P = V^2 / R

P = R x I^2 (correct)

P = I / V

How is the current flowing through each resistor calculated?

Using the junction rule and Ohm's law Signup and view all the answers

What is the formula to calculate the power being supplied by the battery?

P = 20 x i1 Signup and view all the answers

What are the labeled currents flowing through different branches of the circuit?

i1, i2, and i3 Signup and view all the answers

What is the total power being dissipated by the four resistors?

P = 20 x i1 Signup and view all the answers

How is the circuit simplified to calculate the current flowing through each resistor?

By using an equivalent resistor Signup and view all the answers

Study Notes

The problem involves calculating the power being dissipated by a resistor in a DC circuit.
The circuit has a 20-volt power supply and four resistors.
Power can be calculated using the formula V x I, where V is the voltage and I is the current.
For resistors, power can be calculated as R x I^2 or V^2 / R.
To calculate the current flowing through each resistor, the circuit is simplified using an equivalent resistor.
Currents flowing through different branches of the circuit are labeled as i1, i2, and i3.
Currents are calculated using the junction rule and Ohm's law.
Power being supplied by the battery is calculated as 20 x i1.
Power being dissipated by each resistor is calculated as R x i^2.
The total power being dissipated by the four resistors is equal to the power being supplied by the battery.

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Description

"Test your knowledge of DC circuits and power calculation with our quiz! Learn how to calculate power dissipation in a circuit with four resistors using various formulas. Simplify the circuit and calculate currents using the junction rule and Ohm's law. Find out how to calculate the power being supplied by the battery and the power being dissipated by each resistor. Challenge yourself and see if you can calculate the total power being dissipated by the four resistors! Keywords: DC circuit, power dissipation,