Question

A student needs a 4-ohm resistor to complete a circuit. Only a large quantity of 1-ohm resistors are available. In order to complete the circuit, the student should connect A two of the 1-ohm resistors in series and two in parallel. B four 1-ohm resistors in parallel. C four 1-ohm resistors in series. D only two 1-ohm resistors in paralle

Answer 1

C) He should connect four 1-Ohm resistors in series

Step-by-step explanation:

If there are n resistors connected in series, say
`R_1, R_2,...R_n`, the total resistance of the connection is the sum of the individual resistances, ie for a series combination of n resistors, the following holds;

`R_T=R_1+R_2+...+R_n.................(1)`

where
`R_T` is the total resistance.

Since the student needs a 4-Ohm resistor and the only available ones are 1-Ohm each, he should combine each of them in series.

`R_T=1+1+1+1\\R_T=4-Ohms`