Wheatstone Bridge
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
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C.
12.5Ω
-
D.
15Ω
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 the resistance values in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what is the value of R4 for the bridge to be balanced?
-
A.
30Ω
-
B.
15Ω
-
C.
10Ω
-
D.
5Ω
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (20 * 15) / 10 = 30Ω.
Correct Answer: B — 15Ω
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Q. If the resistances in a Wheatstone bridge are 10Ω, 20Ω, 30Ω, and 60Ω, what is the value of the unknown resistance?
-
A.
15Ω
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B.
25Ω
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C.
30Ω
-
D.
45Ω
Solution
Using the formula R1/R2 = R3/R4, we find that R4 = (R2 * R3) / R1 = (20 * 30) / 10 = 60Ω.
Correct Answer: B — 25Ω
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Q. If the resistances in a Wheatstone bridge are 4Ω, 8Ω, 12Ω, and R, what is the value of R for the bridge to be balanced?
-
A.
6Ω
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B.
8Ω
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C.
10Ω
-
D.
12Ω
Solution
Using the balance condition R1/R2 = R3/R4, we find R = (R2 * R3) / R1 = (8 * 12) / 4 = 24Ω.
Correct Answer: A — 6Ω
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Q. If the resistances in a Wheatstone bridge are 5Ω, 15Ω, 10Ω, and R, what is the value of R for the bridge to be balanced?
-
A.
7.5Ω
-
B.
10Ω
-
C.
12.5Ω
-
D.
15Ω
Solution
Using the balance condition R1/R2 = R3/R4, we find R = (R2 * R3) / R1 = (15 * 10) / 5 = 30Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistances in a Wheatstone bridge are equal, what is the current through the galvanometer?
-
A.
Zero
-
B.
Maximum
-
C.
Minimum
-
D.
Depends on the voltage
Solution
If all resistances are equal, the bridge is balanced and the current through the galvanometer is zero.
Correct Answer: A — Zero
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Q. If the resistances in a Wheatstone bridge are equal, what is the potential difference across the galvanometer?
-
A.
Zero
-
B.
Equal to the supply voltage
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C.
Half of the supply voltage
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D.
Depends on the resistances
Solution
If the resistances are equal, the potential difference across the galvanometer is zero.
Correct Answer: A — Zero
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Q. If the resistances in a Wheatstone bridge are P = 10Ω, Q = 15Ω, R = 5Ω, and S = xΩ, what is the value of x for the bridge to be balanced?
-
A.
7.5Ω
-
B.
10Ω
-
C.
12.5Ω
-
D.
15Ω
Solution
For balance, P/Q = R/S => 10/15 = 5/x => x = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistances in a Wheatstone bridge are P = 3Ω, Q = 6Ω, R = 1.5Ω, and S = 3Ω, is the bridge balanced?
-
A.
Yes
-
B.
No
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C.
Cannot be determined
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D.
Only if P = R
Solution
The bridge is not balanced because P/Q ≠ R/S.
Correct Answer: B — No
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = xΩ, what value of x will balance the bridge?
-
A.
7.5Ω
-
B.
10Ω
-
C.
12.5Ω
-
D.
15Ω
Solution
Using the balance condition R1/R2 = R3/R4, we have 10/15 = 5/x, solving gives x = 7.5Ω.
Correct Answer: A — 7.5Ω
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?
-
A.
Yes
-
B.
No
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C.
Depends on the voltage
-
D.
Not enough information
Solution
The bridge is balanced if R1/R2 = R3/R4. Here, 10/15 = 5/7.5, which simplifies to 2/3 = 2/3, confirming the bridge is balanced.
Correct Answer: A — Yes
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Q. If the resistances 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
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 the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, what is the value of R4 for the bridge to be balanced?
-
A.
7.5Ω
-
B.
10Ω
-
C.
12.5Ω
-
D.
15Ω
Solution
Using the balance condition R1/R2 = R3/R4, we have 10/15 = 5/R4. Solving gives R4 = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?
-
A.
30Ω
-
B.
15Ω
-
C.
20Ω
-
D.
10Ω
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (20 * 15) / 10 = 30Ω.
Correct Answer: B — 15Ω
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what is the value of R4 for the bridge to be balanced?
-
A.
30Ω
-
B.
20Ω
-
C.
15Ω
-
D.
10Ω
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (20 * 15) / 10 = 30Ω.
Correct Answer: B — 20Ω
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Q. If the resistances in a Wheatstone bridge are 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
Solution
Using the balance condition R1/R2 = R3/R4, we have 20/30 = 10/x, solving gives x = 20Ω.
Correct Answer: B — 20Ω
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Q. If the resistances in a Wheatstone bridge are R1, R2, R3, and R4, what is the condition for balance?
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A.
R1/R2 = R3/R4
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B.
R1 + R2 = R3 + R4
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C.
R1 * R4 = R2 * R3
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D.
R1 - R2 = R3 - R4
Solution
The condition for balance in a Wheatstone bridge is R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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Q. If the supply voltage in a Wheatstone bridge is increased, how does it affect the balance condition?
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A.
It does not affect the balance condition
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B.
It makes the bridge unbalanced
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C.
It increases the current in the circuit
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D.
It decreases the resistance
Solution
Increasing the supply voltage does not affect the balance condition; it remains dependent on the resistance ratios.
Correct Answer: A — It does not affect the balance condition
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Q. If the total resistance in a Wheatstone bridge is 30Ω and the bridge is balanced, what is the current through the galvanometer?
-
A.
0A
-
B.
1A
-
C.
2A
-
D.
Depends on the voltage
Solution
In a balanced Wheatstone bridge, the current through the galvanometer is zero.
Correct Answer: A — 0A
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Q. If the total resistance in a Wheatstone bridge is increased, what happens to the current in the circuit?
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A.
It increases
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B.
It decreases
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C.
It remains the same
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D.
It becomes zero
Solution
According to Ohm's law, if the total resistance increases, the current in the circuit decreases.
Correct Answer: B — It decreases
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Q. If the value of one of the resistances in a Wheatstone bridge is doubled, what effect does it have on the balance condition?
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A.
It remains balanced
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B.
It becomes unbalanced
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C.
It depends on other resistances
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D.
It cannot be determined
Solution
Doubling one resistance will change the ratio, thus making the bridge unbalanced.
Correct Answer: B — It becomes unbalanced
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Q. If the value of one of the resistances in a Wheatstone bridge is increased, what effect does it have on the balance of the bridge?
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A.
It remains balanced
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B.
It becomes unbalanced
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C.
It depends on the other resistances
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D.
It becomes short-circuited
Solution
Increasing one resistance will generally cause the bridge to become unbalanced.
Correct Answer: B — It becomes unbalanced
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Q. If the Wheatstone bridge is balanced, what is the potential difference across the galvanometer?
-
A.
Maximum.
-
B.
Minimum.
-
C.
Zero.
-
D.
Equal to the supply voltage.
Solution
When the bridge is balanced, the potential difference across the galvanometer is zero.
Correct Answer: C — Zero.
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Q. If the Wheatstone bridge is unbalanced, what can be inferred about the potential difference across the galvanometer?
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A.
It is zero
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B.
It is positive
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C.
It is negative
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D.
It is non-zero
Solution
An unbalanced Wheatstone bridge will have a non-zero potential difference across the galvanometer.
Correct Answer: D — It is non-zero
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Q. If the Wheatstone bridge is unbalanced, what can be inferred about the resistances?
-
A.
R1/R2 = R3/R4
-
B.
R1/R2 ≠ R3/R4
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C.
R1 + R2 = R3 + R4
-
D.
R1 - R2 = R3 - R4
Solution
An unbalanced Wheatstone bridge indicates that the ratio of the resistances is not equal.
Correct Answer: B — R1/R2 ≠ R3/R4
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Q. If the Wheatstone bridge is unbalanced, what can be said about the potential difference across the galvanometer?
-
A.
It is zero.
-
B.
It is maximum.
-
C.
It is equal to the supply voltage.
-
D.
It is constant.
Solution
In an unbalanced bridge, there is a potential difference across the galvanometer, leading to maximum current flow.
Correct Answer: B — It is maximum.
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Q. If the Wheatstone bridge is unbalanced, what happens to the current through the galvanometer?
-
A.
It becomes zero.
-
B.
It increases.
-
C.
It decreases.
-
D.
It becomes infinite.
Solution
In an unbalanced bridge, there is a potential difference across the galvanometer, causing current to flow.
Correct Answer: B — It increases.
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Q. In a balanced Wheatstone bridge, if R1 = 10Ω, R2 = 15Ω, and R3 = 5Ω, what is the value of R4?
-
A.
7.5Ω
-
B.
10Ω
-
C.
15Ω
-
D.
20Ω
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 5) / 10 = 7.5Ω.
Correct Answer: A — 7.5Ω
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Q. In a balanced Wheatstone bridge, if R1 = 10Ω, R2 = 5Ω, and R3 = 15Ω, what is the value of R4?
-
A.
7.5Ω
-
B.
10Ω
-
C.
12.5Ω
-
D.
20Ω
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (5 * 15) / 10 = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. In a balanced Wheatstone bridge, the potential difference across the galvanometer is:
-
A.
Equal to the supply voltage.
-
B.
Zero.
-
C.
Equal to the resistance of the galvanometer.
-
D.
Equal to the potential difference across R1.
Solution
In a balanced Wheatstone bridge, the potential difference across the galvanometer is zero.
Correct Answer: B — Zero.
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