Wheatstone Bridge
Q. If one of the resistors in a Wheatstone bridge is replaced with a variable resistor, what is the effect on the balance condition?
A.
It cannot be balanced
B.
It can be balanced by adjusting the variable resistor
C.
It will always be unbalanced
D.
It will short-circuit the bridge
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Solution
The variable resistor allows for adjustment to achieve balance in the bridge.
Correct Answer: B — It can be balanced by adjusting the variable resistor
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Q. If R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, what should R4 be for the Wheatstone bridge to be balanced?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 5) / 10 = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. If R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω in a Wheatstone bridge, what should R4 be for the bridge to be balanced?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
For balance, R1/R2 = R3/R4, thus R4 = (R2 * R3) / R1 = (20 * 30) / 10 = 60Ω.
Correct Answer: B — 20Ω
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Q. If R1 = 10Ω, R2 = 20Ω, R3 = 30Ω, and R4 = 60Ω in a Wheatstone bridge, is the bridge balanced?
A.
Yes
B.
No
C.
Depends on the voltage
D.
Depends on the current
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Solution
The bridge is not balanced because 10/20 ≠ 30/60.
Correct Answer: B — No
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Q. If R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω in a Wheatstone bridge, what is the value of R4 for balance?
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Solution
Using the balance condition R1/R2 = R3/R4, we have 2/3 = 6/R4. Solving gives R4 = 4Ω.
Correct Answer: A — 4Ω
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Q. If R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the Wheatstone bridge to be balanced?
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Solution
Using the balance condition R1/R2 = R3/R4, we have 2/3 = 6/R4. Solving gives R4 = 4Ω.
Correct Answer: A — 4Ω
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Q. If R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω in a Wheatstone bridge, what is the value of R4 for balance?
A.
7.5Ω
B.
10Ω
C.
15Ω
D.
20Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (10 * 15) / 5 = 30Ω.
Correct Answer: B — 10Ω
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Q. If R1 = 5Ω, R2 = 15Ω, R3 = 10Ω, what should R4 be for the Wheatstone bridge to be balanced?
A.
30Ω
B.
10Ω
C.
15Ω
D.
5Ω
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Solution
For balance, R4 must be 30Ω since 5/15 = 10/30.
Correct Answer: B — 10Ω
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Q. If the galvanometer in a Wheatstone bridge has a high resistance, what is the effect on the sensitivity of the bridge?
A.
Increases sensitivity
B.
Decreases sensitivity
C.
No effect
D.
Depends on the resistances
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Solution
A high resistance in the galvanometer increases the sensitivity of the bridge.
Correct Answer: A — Increases sensitivity
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Q. If the galvanometer in a Wheatstone bridge has a resistance of 5Ω and the bridge is balanced, what is the current through the galvanometer?
A.
Zero.
B.
5A.
C.
1A.
D.
10A.
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Solution
In a balanced Wheatstone bridge, the current through the galvanometer is zero.
Correct Answer: A — Zero.
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Q. If the galvanometer in a Wheatstone bridge shows a deflection, what does it indicate?
A.
The bridge is balanced.
B.
The bridge is unbalanced.
C.
The resistances are equal.
D.
The circuit is open.
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Solution
A deflection in the galvanometer indicates that the bridge is unbalanced, meaning the ratios of resistances are not equal.
Correct Answer: B — The bridge is unbalanced.
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Q. If the galvanometer shows a deflection in a Wheatstone bridge, what can be inferred?
A.
The bridge is balanced
B.
The bridge is unbalanced
C.
The resistances are equal
D.
The circuit is open
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Solution
A deflection in the galvanometer indicates that there is a potential difference across it, meaning the bridge is unbalanced.
Correct Answer: B — The bridge is unbalanced
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Q. If the galvanometer shows a deflection when the Wheatstone bridge is not balanced, what does it indicate?
A.
The bridge is balanced
B.
The resistances are equal
C.
There is a potential difference
D.
The circuit is open
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Solution
A deflection in the galvanometer indicates that there is a potential difference across it, meaning the bridge is not balanced.
Correct Answer: C — There is a potential difference
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Q. If the resistance in one arm of a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
The bridge will always remain balanced.
B.
The bridge will become unbalanced.
C.
The balance condition will improve.
D.
It has no effect.
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Solution
Increasing the resistance in one arm will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — The bridge will become unbalanced.
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Q. If the resistance in one arm of a Wheatstone bridge is increased, what happens to the balance condition?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on other resistances
D.
It becomes short-circuited
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Solution
Increasing the resistance in one arm will disturb the balance condition, making it unbalanced.
Correct Answer: B — It becomes unbalanced
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Q. If the resistance of one arm of a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on the other resistances
D.
It increases the current
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Solution
Increasing the resistance in one arm will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — It becomes unbalanced
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Q. If the resistance of one of the arms in a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
The bridge remains balanced.
B.
The bridge becomes unbalanced.
C.
The current through the galvanometer increases.
D.
The potential difference across the galvanometer decreases.
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Solution
Increasing the resistance in one arm disrupts the balance condition, causing the bridge to become unbalanced.
Correct Answer: B — The bridge becomes unbalanced.
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Q. If the resistance of one of the resistors in a Wheatstone bridge is changed, what will happen to the balance condition?
A.
It will remain unchanged.
B.
It will become balanced.
C.
It will become unbalanced.
D.
It will depend on the value of the changed resistor.
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Solution
Changing the resistance of one of the resistors will alter the ratio, thus making the bridge unbalanced.
Correct Answer: C — It will become unbalanced.
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Q. If the resistance P in a Wheatstone bridge is 10 ohms, Q is 15 ohms, R is 5 ohms, and S is 7.5 ohms, what is the condition for the bridge to be balanced?
A.
P/Q = R/S
B.
P/R = Q/S
C.
P/S = Q/R
D.
P + Q = R + S
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Solution
The condition for balance is P/Q = R/S, which is not satisfied here.
Correct Answer: A — P/Q = R/S
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Q. If the resistance R1 in a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
The bridge becomes balanced
B.
The bridge becomes unbalanced
C.
No effect
D.
Depends on other resistances
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Solution
Increasing R1 changes the ratio R1/R2, which can lead to the bridge becoming unbalanced if the other resistances remain constant.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance R1 in a Wheatstone bridge is increased, what happens to the balance condition?
A.
The bridge remains balanced
B.
The bridge becomes unbalanced
C.
The bridge becomes balanced again
D.
The current through the galvanometer increases
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Solution
Increasing R1 will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance R1 in a Wheatstone bridge is increased, what happens to the current through the galvanometer?
A.
It increases.
B.
It decreases.
C.
It remains the same.
D.
It becomes zero.
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Solution
Increasing R1 will unbalance the bridge, causing a current to flow through the galvanometer, which indicates a decrease in current through it.
Correct Answer: B — It decreases.
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Q. If the resistance R1 is increased in a Wheatstone bridge, what happens to the balance condition?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on R2
D.
It depends on R3 and R4
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Solution
Increasing R1 will disturb the balance unless R2 is also adjusted accordingly.
Correct Answer: B — It becomes unbalanced
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Q. If the resistance R2 in a Wheatstone bridge is halved, what effect does it have on the balance condition?
A.
The bridge remains balanced
B.
The bridge becomes unbalanced
C.
The bridge becomes balanced again
D.
The current through the galvanometer decreases
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Solution
Halving R2 will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance R4 in a Wheatstone bridge is decreased, what effect does it have on the balance condition?
A.
The bridge becomes balanced
B.
The bridge becomes unbalanced
C.
The current through the galvanometer decreases
D.
The voltage across R1 increases
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Solution
Decreasing R4 will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance values in a Wheatstone bridge are all equal, what can be inferred about the bridge?
A.
It is always balanced.
B.
It is always unbalanced.
C.
The current through the galvanometer is zero.
D.
The potential difference across the galvanometer is maximum.
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Solution
If all resistances are equal, the bridge is balanced, leading to zero current through the galvanometer.
Correct Answer: A — It is always balanced.
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Q. If the resistance values in a Wheatstone bridge are all equal, what can be said about the bridge?
A.
It is always balanced
B.
It is always unbalanced
C.
It depends on the circuit configuration
D.
It cannot be determined
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Solution
If all resistance values are equal, the Wheatstone bridge is always balanced, resulting in zero current through the galvanometer.
Correct Answer: A — It is always balanced
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Q. If the resistance values in a Wheatstone bridge are all equal, what is the condition for balance?
A.
All resistances must be zero
B.
Any resistance can be changed
C.
The bridge is always balanced
D.
The bridge is never balanced
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Solution
If all resistances are equal, the bridge is always balanced regardless of the values.
Correct Answer: C — The bridge is always balanced
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Q. If the resistance values in a Wheatstone bridge are doubled, what happens to the balance condition?
A.
It remains the same
B.
It becomes unbalanced
C.
It becomes easier to balance
D.
It becomes impossible to balance
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Solution
Doubling all resistance values does not affect the balance condition, as the ratios remain the same.
Correct Answer: A — It remains the same
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Q. If the resistance values in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, what should R4 be for the bridge to be balanced?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 5) / 10 = 7.5Ω.
Correct Answer: C — 12.5Ω
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