Wheatstone Bridge
Q. In a balanced Wheatstone bridge, what is the potential difference across the galvanometer?
A.
Equal to the supply voltage
B.
Zero
C.
Equal to the resistance
D.
Depends on the resistances
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Solution
In a balanced Wheatstone bridge, the potential difference across the galvanometer is zero.
Correct Answer: B — Zero
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Q. In a balanced Wheatstone bridge, what is the relationship between the resistances R1, R2, R3, and R4?
A.
R1/R2 = R3/R4
B.
R1 + R2 = R3 + R4
C.
R1 * R4 = R2 * R3
D.
R1 - R2 = R3 - R4
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Solution
In a balanced Wheatstone bridge, the ratio of the resistances in one arm equals the ratio in the other arm, hence R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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Q. In a practical Wheatstone bridge, what is the effect of temperature on resistance measurements?
A.
Temperature has no effect
B.
Resistance increases with temperature
C.
Resistance decreases with temperature
D.
It depends on the material
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Solution
The effect of temperature on resistance measurements in a Wheatstone bridge depends on the material of the resistors, as different materials have different temperature coefficients.
Correct Answer: D — It depends on the material
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Q. In a practical Wheatstone bridge, what is the effect of temperature on the resistances?
A.
Resistances remain constant
B.
Resistances increase with temperature
C.
Resistances decrease with temperature
D.
Temperature has no effect
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Solution
In general, the resistance of conductors increases with temperature due to increased atomic vibrations.
Correct Answer: B — Resistances increase with temperature
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Q. In a practical Wheatstone bridge, what is the effect of temperature on the resistors?
A.
It has no effect
B.
It can change resistance values
C.
It only affects the galvanometer
D.
It only affects the power supply
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Solution
Temperature changes can affect the resistance values of the resistors, thus affecting the balance condition.
Correct Answer: B — It can change resistance values
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Q. In a practical Wheatstone bridge, what is the main source of error?
A.
Temperature variations
B.
Resistance of the connecting wires
C.
Calibration of the galvanometer
D.
Non-ideal resistors
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Solution
Non-ideal resistors can introduce errors in the measurements due to their tolerance and temperature coefficients.
Correct Answer: D — Non-ideal resistors
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Q. In a Wheatstone bridge, if all resistances are equal, what is the condition for balance?
A.
Any configuration.
B.
R1 = R2 = R3 = R4.
C.
R1 + R2 = R3 + R4.
D.
R1/R2 = R3/R4.
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Solution
When all resistances are equal, the bridge is balanced regardless of the configuration.
Correct Answer: B — R1 = R2 = R3 = R4.
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Q. In a Wheatstone bridge, if one of the resistors is changed, how does it affect the balance condition?
A.
It does not affect the balance
B.
It always unbalances the bridge
C.
It can either balance or unbalance the bridge
D.
It only balances if the new resistor is equal
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Solution
Changing one resistor can either balance or unbalance the bridge depending on the new value relative to the others.
Correct Answer: C — It can either balance or unbalance the bridge
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Q. In a Wheatstone bridge, if P = 20Ω, Q = 30Ω, and R = 10Ω, what is the value of S for the bridge to be balanced?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
Using the balance condition P/Q = R/S, we find S = 15Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 15Ω, and R3 = 30Ω, what is the value of R4 for the bridge to be balanced?
A.
20Ω
B.
25Ω
C.
30Ω
D.
35Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 30) / 10 = 45Ω.
Correct Answer: B — 25Ω
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Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω, what is the value of R4 for the bridge to be balanced?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we have 10/20 = 30/R4, which gives R4 = 20Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?
A.
30Ω
B.
20Ω
C.
15Ω
D.
10Ω
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Solution
For balance, R1/R2 = R3/R4. Thus, 10/20 = 15/R4, giving R4 = 30Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 1Ω, R2 = 2Ω, and R3 = 3Ω, what is the value of R4 for the bridge to be balanced?
A.
1.5Ω
B.
2Ω
C.
3Ω
D.
4Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we have 1/2 = 3/R4. Solving gives R4 = 6Ω.
Correct Answer: D — 4Ω
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Q. In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for balance?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for the bridge to be balanced?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for balance?
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (3 * 6) / 2 = 9Ω.
Correct Answer: C — 6Ω
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Q. In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the bridge to be balanced?
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (3 * 6) / 2 = 9Ω.
Correct Answer: C — 12Ω
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Q. In a Wheatstone bridge, if R1 = 3Ω, R2 = 6Ω, and R3 = 9Ω, what is the value of R4 for balance?
A.
4.5Ω
B.
6Ω
C.
9Ω
D.
12Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = 6Ω.
Correct Answer: B — 6Ω
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Q. In a Wheatstone bridge, if R1 = 4Ω, R2 = 6Ω, and R3 = 12Ω, what is the value of R4 for the bridge to be balanced?
A.
8Ω
B.
9Ω
C.
10Ω
D.
12Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (6 * 12) / 4 = 18Ω.
Correct Answer: D — 12Ω
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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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