Answer to Question #173376 in Electric Circuits for Sandra

Question

In a SERIES circuit, the potential difference across each resistor is *

1 point

inversely proportional to its resistance

directly proportional to its resistance

directly proportional to the square of its resistance

unrelated to its resistance

Answer 1

In the series circuit, the current is the same across each element of the circuit. Therefore, we can find the potential difference across resistors as follows:

$$\Delta V=\Delta V_1+\Delta V_2=IR_1+IR_2.$$

Therefore, the potential difference across each resistor is directly proportional to its resistance.

Answer:

directly proportional to its resistance