Question

is the resistance of the given circuit is 20 ohm then calculate the resistance of the given circuit ​

Answer 1

X=15 AND I=0.3A

Explanation:

• TOTAL RESISTANCE =20ohm
• We should calculate the resistance of x and current flowing through the circuit.

R1= 10ohm

R2=X

R3=25ohm

R4=75ohm

r1 and r2 are in series

so,

Rs1= R1+R2

=10+x...... equation 1..

R3 AND R4 ARE IN SERIES

Rs2= R3+R4

=25+75

=100. ....equation 2

now Rs1 and Rs2 in parallel and

Rp = 20 ohm

1/Rp= 1/Rs1 + 1/Rs2. (by eqa 1 and 2)

1/20= 1/10+X +1/100 ( by taking LCM)

1/20= 100+10+X/ 100(10+X).

1/20= 110+X /1000 + 100X(by cross's multipling)

1000+ 100X = 2200 + 20X

100X - 20X. = 2200 - 1000

80X = 1200

X = 1200/80

X= 15.

I hope it will help you.