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Solution :
Lamp :
Resistance , R1=?
R
1
=
?
Potential differences, V1=?
V
1
=
?
Current drawn, I1=0.25A
I
1
=
0.25
A
Other conductor :
:
Resistance , R2=4Ω
R
2
=
4
Ω
Potential differences , V2=?
V
2
=
?
Current drawn , I2=?
I
2
=
?
Resultant resistance, R=R1+R2
R
=
R
1
+
R
2
∴
∴
Potential differene, V=6V
V
=
6
V
Current in the circuit , I=0.25A
I
=
0.25
A
∵I=I1=I2
∵
I
=
I
1
=
I
2
∴V=IR
∴
V
=
I
R
⇒R=VI=60.25=6×100425=24Ω
⇒
R
=
V
I
=
6
0.25
=
6
×
100
4
25
=
24
Ω
Now, R1+R2=R
R
1
+
R
2
=
R
⇒R1+4=24
⇒
R
1
+
4
=
24
∴R1=24−4=20Ω
∴
R
1
=
24
-
4
=
20
Ω
Lamp :
Resistance , R1=?
R
1
=
?
Potential differences, V1=?
V
1
=
?
Current drawn, I1=0.25A
I
1
=
0.25
A
Other conductor :
:
Resistance , R2=4Ω
R
2
=
4
Ω
Potential differences , V2=?
V
2
=
?
Current drawn , I2=?
I
2
=
?
Resultant resistance, R=R1+R2
R
=
R
1
+
R
2
∴
∴
Potential differene, V=6V
V
=
6
V
Current in the circuit , I=0.25A
I
=
0.25
A
∵I=I1=I2
∵
I
=
I
1
=
I
2
∴V=IR
∴
V
=
I
R
⇒R=VI=60.25=6×100425=24Ω
⇒
R
=
V
I
=
6
0.25
=
6
×
100
4
25
=
24
Ω
Now, R1+R2=R
R
1
+
R
2
=
R
⇒R1+4=24
⇒
R
1
+
4
=
24
∴R1=24−4=20Ω
∴
R
1
=
24
-
4
=
20
Ω
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