Question 1

Given the circuit diagram, what is the equivalent resistance between the terminals of the battery?

Accepted Answer

$$6 \Omega$$

Question 2

If the total current supplied by the battery is $$0.833 A$$, what is the voltage drop across resistor $$R_1$$ ($$4 \Omega$$)?

Accepted Answer

$$3.33 V$$

Question 3

What is the current flowing through $$R_5$$ ($$4 \Omega) in $$the circuit?

Accepted Answer

$$0.125 A$$

Question 4

Calculate the power dissipated by $$R_5$$ ($$4 \Omega).$$

Accepted Answer

$$0.0625 W$$

Question 5

A $$0.5 m $$length of copper wire with diameter $$1.6 mm $$has a resistivity of $$1.7 	imes 10$$^{-8}$$ \Omega m. $$What is its resistance?

Accepted Answer

$$0.0042 \Omega$$

Question 6

If the resistance of the wire is $$0.0042 \Omega$$ and the total circuit resistance is $$6 \Omega$$, what percentage of the total resistance is due to the wire?

Accepted Answer

$$0.07\%$$

Question 7

If the battery voltage is increased to $$10 V$$, what will be the new current through $$R_5$$ ($$4 \Omega$$)?

Accepted Answer

$$0.25 A$$

Question 8

Which of the following best explains why the resistance of the wire can be ignored in this circuit?

Accepted Answer

The resistance of the wire is much smaller than the resistance of the other components.

Question 9

If $$R_2$$ ($$4 \Omega) $$fails and becomes an open circuit, what happens to the total resistance of the circuit?

Accepted Answer

It increases.

Question 10

A student claims that the current through $$R_4$$ ($$10 \Omega) is $$the same as through $$R_1$$ ($$4 \Omega). Is $$this correct? Why or why not?

Accepted Answer

No, because $$R_4$$ and $$R_1$$ are not in series.

Question 11

If the power dissipated by $$R_5 is$$ $$0.0625 W$$, what is the voltage across $$R_5$$?

Accepted Answer

$$0.5 V$$

Question 12

Which equation correctly gives the resistance of a wire of length $$L$$, cross-sectional area $$A$$, and resistivity $$\rho$$?

Accepted Answer

$$R = \frac{\rho L}{A}$$

Question 13

If the current through $$R_3$$ ($$8 \Omega) is$$ $$0.25 A$$, what is the voltage drop across $$R_3$$?

Accepted Answer

$$2 V$$

Question 14

If the total power supplied by the battery is $$0.694 W$$, what is the total current drawn from the battery?

Accepted Answer

$$0.139 A$$

Question 15

Which of the following statements about parallel resistors is correct?

Accepted Answer

The voltage across each resistor is the same.

Question 16

If $$R_5 is $$replaced with a $$2 \Omega$$ resistor, what happens to the total current through the circuit?

Accepted Answer

It increases.

Question 17

A student measures the resistance of the wire and finds it to be $$0.0042 \Omega. If $$the wire is doubled in length, what will be its new resistance?

Accepted Answer

$$0.0084 \Omega$$

Question 18

If the resistivity of copper increases due to temperature, what happens to the resistance of the wire?

Accepted Answer

It increases.

Question 19

Which of the following best describes the effect of adding another $$4 \Omega$$ resistor in parallel with $$R_5$$?

Accepted Answer

The equivalent resistance of that branch decreases.

Question 20

If the battery is replaced with a $$10 V $$source, and all resistors remain the same, what is the new power dissipated by $$R_5$$?

Accepted Answer

$$0.25 W$$

Step-by-Step Guidance for Circuit Analysis and Resistance Calculation

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