Daily review: Voltage Divider Rules Quiz Practice…

Q: What is the formula for the voltage across resistor R2 in a series circuit containing R1 and R2 connected to a voltage source Vs?

V2 = Vs * (R2 / (R1 + R2)) — The voltage divider rule states the voltage across a resistor is the source voltage times the ratio of that resistor to the total series resistance.

Q: A voltage divider consists of two 10k-ohm resistors in series with a 12V source. What is the voltage at the midpoint?

6V — With equal resistors, the voltage splits equally between them: 12V / 2 = 6V.

Q: Which condition must be met for the standard voltage divider formula to be accurate?

The resistors must be in series and no load current is drawn — The formula assumes no current leaves the node, meaning the output is an open circuit (unloaded).

Q: If you connect a load resistor in parallel with R2 in a voltage divider, what happens to the output voltage Vout?

Vout decreases — Adding a load resistor decreases the effective resistance of the bottom branch, pulling the output voltage down.

Q: In a voltage divider with R1 = 1k and R2 = 3k, what fraction of the input voltage appears across R1?

0.25 — The fraction is R1 / (R1 + R2) = 1k / (1k + 3k) = 1/4 = 0.25.

Q: What is the purpose of using a voltage divider?

To generate a lower voltage from a higher voltage source — Voltage dividers are passive circuits used to scale down a voltage to a desired level.

Q: A 24V source is connected to R1 (100 ohms) and R2 (100 ohms). If R2 is short-circuited, what is the output voltage?

0V — A short circuit across R2 makes the resistance 0 ohms; since V = I * R, the voltage becomes 0V.

Q: Why is a voltage divider generally unsuitable for powering heavy loads?

The output voltage will fluctuate significantly as load current changes — Because the divider has a high output impedance, any current draw causes a significant voltage drop.

Q: What happens to the output voltage if the source voltage is doubled?

It is doubled — The output voltage is directly proportional to the source voltage (Vout = Vs * k).

Q: In a potentiometer configured as a voltage divider, what changes as you rotate the wiper?

The ratio of R1 to R2 — Moving the wiper changes the contact point, effectively shifting the resistance values of R1 and R2 while keeping their sum constant.

Question 1 of 10

What is the formula for the voltage across resistor R2 in a series circuit containing R1 and R2 connected to a voltage source Vs?

The voltage divider rule states the voltage across a resistor is the source voltage times the ratio of that resistor to the total series resistance.

Question 2 of 10

A voltage divider consists of two 10k-ohm resistors in series with a 12V source. What is the voltage at the midpoint?

With equal resistors, the voltage splits equally between them: 12V / 2 = 6V.

Question 3 of 10

Which condition must be met for the standard voltage divider formula to be accurate?

The formula assumes no current leaves the node, meaning the output is an open circuit (unloaded).

Question 4 of 10

If you connect a load resistor in parallel with R2 in a voltage divider, what happens to the output voltage Vout?

Adding a load resistor decreases the effective resistance of the bottom branch, pulling the output voltage down.

Question 5 of 10

In a voltage divider with R1 = 1k and R2 = 3k, what fraction of the input voltage appears across R1?

The fraction is R1 / (R1 + R2) = 1k / (1k + 3k) = 1/4 = 0.25.

Question 6 of 10

What is the purpose of using a voltage divider?

Voltage dividers are passive circuits used to scale down a voltage to a desired level.

Question 7 of 10

A 24V source is connected to R1 (100 ohms) and R2 (100 ohms). If R2 is short-circuited, what is the output voltage?

A short circuit across R2 makes the resistance 0 ohms; since V = I * R, the voltage becomes 0V.

Question 8 of 10

Why is a voltage divider generally unsuitable for powering heavy loads?

Because the divider has a high output impedance, any current draw causes a significant voltage drop.

Question 9 of 10

What happens to the output voltage if the source voltage is doubled?

The output voltage is directly proportional to the source voltage (Vout = Vs * k).

Question 10 of 10

In a potentiometer configured as a voltage divider, what changes as you rotate the wiper?

Moving the wiper changes the contact point, effectively shifting the resistance values of R1 and R2 while keeping their sum constant.

Daily review: Voltage Divider Rules Quiz