How does this potential divider circuit work?

  • #1
Dr. Who
9
0
Homework Statement
Below is an MCQ that appeared in a GCSE exam. I am confused about the solution. Please guide.
Relevant Equations
I= V/R (Ohm's Law)
Screenshot_20240226-063918~2.png

Screenshot_20240226-063948~2.png

The correct option is supposed to be (B). Can someone please explain why changing the resistance of the variable resistor affects the voltage across the other resistor? Also explain why (B) is the correct option? Thanks
 
Physics news on Phys.org
  • #2
changing the resistance changes the current through the circuit, which in turn changes the voltages across the resistors. The TOTAL voltage across the two can't change but the ratio clearly changes. Think in extremes. What happens if the variable resistor is taken all the way to zero?
 

FAQ: How does this potential divider circuit work?

What is a potential divider circuit?

A potential divider circuit is an electrical circuit used to generate a specific voltage output that is a fraction of its input voltage. It typically consists of two or more resistors connected in series across a voltage source. The desired output voltage is taken from the junction of these resistors.

How do you calculate the output voltage in a potential divider circuit?

The output voltage in a potential divider circuit can be calculated using the formula \( V_{out} = V_{in} \times \frac{R2}{R1 + R2} \), where \( V_{in} \) is the input voltage, \( R1 \) is the resistance of the first resistor, and \( R2 \) is the resistance of the second resistor. This formula assumes that the output voltage is taken across \( R2 \).

Why are potential divider circuits used?

Potential divider circuits are used to obtain a desired voltage level from a higher voltage source. They are commonly used in analog circuits to set reference voltages, adjust signal levels, and in sensor circuits to convert changes in resistance to a measurable voltage.

What factors affect the accuracy of a potential divider circuit?

The accuracy of a potential divider circuit can be affected by several factors, including the tolerance and temperature coefficient of the resistors, the stability of the input voltage, and the load connected to the output. Using precision resistors and minimizing the load current can help improve accuracy.

Can a potential divider circuit be used with variable resistors?

Yes, a potential divider circuit can be used with variable resistors, such as potentiometers. By adjusting the position of the wiper on the potentiometer, you can vary the resistance and thus change the output voltage. This makes it useful for applications where adjustable voltage levels are needed.

Back
Top