Question

Three resistors of 30 ohm each are connected such that equivalent resistance is 10 ohm. Then
ORTARAN
Options
They must be connected in parallel
They must be connected in series
Two may be connected in parallel and in series with third
O
Two may be connected in series and in parallel with third​

Answer 1

Answer:

They must be connected in Parallel

Explanation:

when we do in series

GIVEN :

R = 30 OHM

CASE 1 IN SERIES :

FORMULA FOR RESISTOR'S IN SERIES : R1+R2+ R3 +.... = RS

WHERE RS IS TOTAL RESISTANCE

SO 30+30+30 = 90 OHM

CASE 2 IN PARALLEL :

FORMULA FOR RESISTOR'S IN PARALLEL: 1/R1+1/R2+ 1/R3 +.... = 1/RS

WHERE RS IS TOTAL RESISTANCE

WHERE RS IS TOTAL RESISTANCESO 1/30+1/30+1/30 = 3/30 OHM

ON SIMPLIFICATION WE GEY 3/30 = 1/10

ACCORDING TO TOTAL PARALLEL RESISTANCE ANSWER SHOULD BE RECIPROCALED

SO THERE FOR ANSWER IS 10 OHM