3.0Ω
13.3Ω
15.0Ω
30.0Ω
Explanation
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Discussions (20)

Figure X is missing,and it is to be located at the other end opposite Z and Y from the solution given. Then from the question XY=1m. Converting 1m to cm.
1m=100cm
therefore;ZY=100cm-60cm
=40cm.
then:R=60cm,20ohms=40cm
so therefore;R=30ohms.

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Explanation
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Please I have An Explanation But There Is No Place To Click.
It Says Click Here...... I Click It Doesn't Change,

🧱 What we have:
A 1-meter (100 cm) long wire XY.
A galvanometer connected at point Z, which is at 60 cm from X.
A known resistor of 20Ω on one side.
An unknown resistor
𝑅
R on the other side.
The bridge is said to be balanced at point Z.
🧠 Important Concept: Wheatstone Bridge Balance Condition
At balance point (no current through galvanometer):
𝑅
1
𝑅
2
=
𝐿
1
𝐿
2
R
2
R
1
=
L
2
L
1
Where:
𝑅
1
=
𝑅
R
1
=R (unknown resistor)
𝑅
2
=
20
Ω
R
2
=20 Ω
𝐿
1
=
60
cm
L
1
=60 cm
𝐿
2
=
40
cm
L
2
=40 cm (since the total length is 100 cm)
Step-by-step Solution:
𝑅
20
=
60
40
20
R
=
40
60
𝑅
20
=
3
2
20
R
=
2
3
Multiply both sides by 20:
𝑅
=
20
×
3
2
=
30
Ω
R=20×
2
3
=30 Ω
Final Answer: D. 30.0Ω



