Current Electricity
Q. In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for balance?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
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: C — 12.5Ω
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Q. In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for the 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 have 5/10 = 15/x, solving gives x = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. In a Wheatstone bridge, if the battery voltage is 12V and the bridge is balanced, what is the current through the galvanometer?
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Solution
In a balanced Wheatstone bridge, the current through the galvanometer is zero.
Correct Answer: A — 0A
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Q. In a Wheatstone bridge, if the battery voltage is 12V and the bridge is balanced, what is the voltage across each resistor?
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Solution
In a balanced Wheatstone bridge, the voltage is divided equally across the resistors, so each resistor will have 6V.
Correct Answer: C — 6V
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Q. In a Wheatstone bridge, if the battery voltage is 12V and the resistances are equal, what is the voltage across the galvanometer?
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Solution
With equal resistances, the voltage across the galvanometer is 0V.
Correct Answer: A — 0V
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Q. In a Wheatstone bridge, if the battery voltage is increased, what happens to the balance condition?
A.
It changes
B.
It remains the same
C.
It becomes unstable
D.
It cannot be determined
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Solution
The balance condition depends on the ratio of resistances, not the voltage.
Correct Answer: B — It remains the same
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Q. In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?
A.
R1/R2 = R3/R4
B.
R1 + R2 = R3 + R4
C.
R1 - R2 = R3 - R4
D.
R1 * R2 = R3 * R4
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Solution
In a balanced Wheatstone bridge, the ratio of the resistances in one branch is equal to the ratio in the other branch, hence R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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Q. In a Wheatstone bridge, if the bridge is unbalanced, what happens to the current through the galvanometer?
A.
It becomes zero
B.
It increases
C.
It decreases
D.
It oscillates
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Solution
When the Wheatstone bridge is unbalanced, a current flows through the galvanometer, indicating a difference in potential across it.
Correct Answer: B — It increases
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Q. In a Wheatstone bridge, if the galvanometer shows a current, 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 current in the galvanometer indicates that the bridge is unbalanced.
Correct Answer: B — The bridge is unbalanced
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Q. In a Wheatstone bridge, if the galvanometer shows a current, 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 current in the galvanometer indicates that the bridge is unbalanced.
Correct Answer: B — The bridge is unbalanced
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Q. In a Wheatstone bridge, if the galvanometer shows a current, which of the following statements is true?
A.
The bridge is balanced.
B.
The bridge is unbalanced.
C.
The resistances are equal.
D.
The potential difference is zero.
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Solution
If the galvanometer shows a current, it indicates that the bridge is unbalanced.
Correct Answer: B — The bridge is unbalanced.
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Q. In a Wheatstone bridge, if the galvanometer shows a deflection, what does it indicate?
A.
The bridge is balanced
B.
The bridge is unbalanced
C.
The resistances are equal
D.
The current is zero
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Solution
A deflection in the galvanometer indicates that the bridge is unbalanced, meaning the ratios of the resistances are not equal.
Correct Answer: B — The bridge is unbalanced
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Q. In a Wheatstone bridge, if the galvanometer shows zero deflection, what can be inferred about the current?
A.
No current flows
B.
Current flows through the galvanometer
C.
Current is maximum
D.
Current is minimum
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Solution
Zero deflection indicates that no current flows through the galvanometer.
Correct Answer: A — No current flows
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Q. In a Wheatstone bridge, if the galvanometer shows zero deflection, what does it indicate?
A.
The bridge is balanced
B.
The bridge is unbalanced
C.
The current is zero
D.
The resistances are equal
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Solution
Zero deflection in the galvanometer indicates that the bridge is balanced.
Correct Answer: A — The bridge is balanced
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Q. In a Wheatstone bridge, if the known resistances are 5Ω and 10Ω, what is the unknown resistance if the bridge is balanced with a 15Ω resistor?
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 = (10 * 15) / 5 = 30Ω.
Correct Answer: C — 12.5Ω
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Q. In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what can be said about the bridge?
A.
Balanced
B.
Unbalanced
C.
Cannot be determined
D.
Short-circuited
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Solution
The bridge is unbalanced because the ratios 2:3 and 4:5 are not equal.
Correct Answer: B — Unbalanced
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Q. In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what is the condition for the bridge to be balanced?
A.
2/3 = 4/5
B.
2/3 = 5/4
C.
3/2 = 5/4
D.
3/2 = 4/5
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Solution
For the bridge to be balanced, the ratios must be equal. Thus, 2/3 should equal 4/5, which is not true.
Correct Answer: A — 2/3 = 4/5
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Q. In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio of resistances R and S is 4:5, what can be said about the bridge?
A.
Balanced
B.
Unbalanced
C.
Cannot be determined
D.
Short-circuited
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Solution
The bridge is unbalanced because the ratios of the resistances do not match.
Correct Answer: B — Unbalanced
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Q. In a Wheatstone bridge, if the ratio of resistances R1 and R2 is equal to the ratio of R3 and R4, what can be said about the bridge?
A.
The bridge is balanced.
B.
The bridge is unbalanced.
C.
The current through the galvanometer is maximum.
D.
The potential difference across the galvanometer is maximum.
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Solution
When R1/R2 = R3/R4, the bridge is balanced, meaning no current flows through the galvanometer.
Correct Answer: A — The bridge is balanced.
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Q. In a Wheatstone bridge, if the ratio of resistances R1 to R2 is equal to the ratio of R3 to R4, what can be said about the bridge?
A.
The bridge is balanced.
B.
The bridge is unbalanced.
C.
The current through the galvanometer is maximum.
D.
The potential difference across the galvanometer is maximum.
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Solution
When R1/R2 = R3/R4, the bridge is balanced, meaning no current flows through the galvanometer.
Correct Answer: A — The bridge is balanced.
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Q. In a Wheatstone bridge, if the ratio of resistances R1 to R2 is equal to the ratio of R3 to R4, what can be concluded?
A.
The bridge is balanced.
B.
The current through the galvanometer is maximum.
C.
The potential difference across the galvanometer is maximum.
D.
The resistances are equal.
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Solution
When R1/R2 = R3/R4, the bridge is balanced, meaning no current flows through the galvanometer.
Correct Answer: A — The bridge is balanced.
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Q. In a Wheatstone bridge, if the ratio of the resistances in one arm is 2:3 and in the other arm is 4:5, what is the condition for the bridge to be balanced?
A.
2/3 = 4/5
B.
2/3 = 5/4
C.
3/2 = 5/4
D.
3/2 = 4/5
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Solution
For a Wheatstone bridge to be balanced, the ratio of the resistances must be equal. Here, 2/3 is not equal to 4/5.
Correct Answer: A — 2/3 = 4/5
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Q. In a Wheatstone bridge, if the resistance P is increased, what effect does it have on the balance condition?
A.
Bridge remains balanced
B.
Bridge becomes unbalanced
C.
Bridge becomes short-circuited
D.
Bridge becomes open-circuited
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Solution
Increasing resistance P will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — Bridge becomes unbalanced
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Q. In a Wheatstone bridge, if the resistance R2 is decreased, what effect does it have on the balance condition?
A.
It will balance the bridge.
B.
It will unbalance the bridge.
C.
It has no effect.
D.
It will increase the current.
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Solution
Decreasing R2 will disturb the balance condition, causing the bridge to become unbalanced.
Correct Answer: B — It will unbalance the bridge.
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Q. In a Wheatstone bridge, if the resistance R2 is doubled, what effect does it have on the balance condition?
A.
It remains balanced.
B.
It becomes unbalanced.
C.
It requires R4 to be halved.
D.
It requires R1 to be doubled.
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Solution
Doubling R2 will change the ratio R1/R2, thus unbalancing the bridge.
Correct Answer: B — It becomes unbalanced.
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Q. In a Wheatstone bridge, if the resistance R4 is adjusted to achieve balance, what does this imply about the other resistances?
A.
They are equal.
B.
They are in series.
C.
They are in parallel.
D.
They maintain a specific ratio.
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Solution
Adjusting R4 to achieve balance implies that the other resistances maintain a specific ratio.
Correct Answer: D — They maintain a specific ratio.
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Q. In a Wheatstone bridge, if the resistances are 1Ω, 2Ω, 3Ω, and 6Ω, is the bridge balanced?
A.
Yes
B.
No
C.
Only if R4 is adjusted
D.
Only if R3 is adjusted
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Solution
The bridge is not balanced because 1/2 is not equal to 3/6.
Correct Answer: B — No
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Q. In a Wheatstone bridge, if the resistances are P = 5Ω, Q = 10Ω, R = 15Ω, what is the value of S for balance?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
Show solution
Solution
Using the balance condition P/Q = R/S, we find S = (Q*R)/P = (10*15)/5 = 30Ω.
Correct Answer: C — 12.5Ω
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Q. In a Wheatstone bridge, if the resistances are R1 = 2Ω, R2 = 3Ω, R3 = 4Ω, what is the value of R4 for balance?
A.
6Ω
B.
8Ω
C.
12Ω
D.
1.5Ω
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Solution
For balance, R4 must be 6Ω since 2/3 = 4/6.
Correct Answer: A — 6Ω
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Q. In a Wheatstone bridge, if the supply voltage is 12V and the bridge is balanced, what is the voltage across each arm?
A.
6V each
B.
12V each
C.
4V each
D.
8V each
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Solution
In a balanced Wheatstone bridge, the voltage divides equally across the two arms, so each arm would have 6V if the total is 12V.
Correct Answer: A — 6V each
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