Question

Establish a relationship to determine the equivalent resistance R of a combination of three resistors having resistances R1, R2 and R connected in series. Calculate the equivalent resistance mbination of three resistors of 2 ohm, 3 ohm and 6 ohm joined in parallel

CBSE Class X Science LA (5 Marks)

Answer 1

the resistors which connected in series
equivalent resistance = R1 +R2 + R
is the relationship between the resistors connected in series.
For parallel connection
R1 = 2ohm
R2 = 3ohm
R3 = 6ohm
for equivalent resistance (Rt)
1/Rt = 1/R1 + 1/R2 + 1/R3
1/Rt = 1/2 + 1/3 + 1/6
1/Rt = (3 + 2 + 1)/6 = 6/6 =1/1
Rt = 1 ohm
equivalent resistance = 1 ohm

Answer 2

which are connected in series

equivalent resistance =r1+r2

For parallel connection

R1 = 2ohm

R2 = 3ohm

R3 = 6ohm

1/Rn= 1/R1 + 1/R2 + 1/R3

1/Rn = 1/2 + 1/3 + 1/6

1/Rn = (3 + 2 + 1)/6

= 6/6

Rn = 1 ohm