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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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
Show solution
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
B.
25Ω
C.
30Ω
D.
45Ω
Show solution
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
B.
8Ω
C.
10Ω
D.
12Ω
Show solution
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
Show solution
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
Show solution
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
C.
Half of the supply voltage
D.
Depends on the resistances
Show solution
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
Show solution
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
C.
Cannot be determined
D.
Only if P = R
Show solution
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
Show solution
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
C.
Depends on the voltage
D.
Not enough information
Show solution
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
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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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
Show solution
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 is the value of R4 for the bridge to be balanced?
A.
30Ω
B.
20Ω
C.
15Ω
D.
10Ω
Show solution
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 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?
A.
30Ω
B.
15Ω
C.
20Ω
D.
10Ω
Show solution
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 = 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
Show solution
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?
A.
R1/R2 = R3/R4
B.
R1 + R2 = R3 + R4
C.
R1 * R4 = R2 * R3
D.
R1 - R2 = R3 - R4
Show solution
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?
A.
It does not affect the balance condition
B.
It makes the bridge unbalanced
C.
It increases the current in the circuit
D.
It decreases the resistance
Show solution
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
Show solution
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?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
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?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on other resistances
D.
It cannot be determined
Show solution
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?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on the other resistances
D.
It becomes short-circuited
Show solution
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.
Show solution
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?
A.
It is zero
B.
It is positive
C.
It is negative
D.
It is non-zero
Show solution
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
C.
R1 + R2 = R3 + R4
D.
R1 - R2 = R3 - R4
Show solution
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.
Show solution
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.
Show solution
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
Show solution
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
Show solution
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.
Show solution
Solution
In a balanced Wheatstone bridge, the potential difference across the galvanometer is zero.
Correct Answer:
B
— Zero.
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Showing 31 to 60 of 142 (5 Pages)
Wheatstone Bridge MCQ & Objective Questions
The Wheatstone Bridge is a fundamental concept in electrical engineering and physics, making it a crucial topic for students preparing for exams. Understanding this concept not only enhances your grasp of circuit analysis but also boosts your performance in objective questions. Practicing Wheatstone Bridge MCQs and other practice questions can significantly improve your exam readiness and help you score better in important exams.
What You Will Practise Here
Understanding the principle of the Wheatstone Bridge
Key formulas related to resistance and current
Applications of the Wheatstone Bridge in measuring unknown resistances
Derivation of the balance condition in a Wheatstone Bridge
Diagrams illustrating the Wheatstone Bridge setup
Common variations and modifications of the Wheatstone Bridge
Real-life applications and significance in electrical measurements
Exam Relevance
The Wheatstone Bridge is frequently featured in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of the bridge's operation, calculations involving resistance, and its applications. Common question patterns include numerical problems, theoretical explanations, and conceptual applications, making it essential to master this topic for success in competitive exams.
Common Mistakes Students Make
Confusing the balance condition with other circuit conditions
Misapplying formulas related to resistance and current
Overlooking the significance of the galvanometer in the bridge circuit
Failing to interpret circuit diagrams accurately
FAQs
Question: What is the main purpose of a Wheatstone Bridge?Answer: The main purpose of a Wheatstone Bridge is to measure unknown electrical resistances by balancing two legs of a circuit.
Question: How does the Wheatstone Bridge work?Answer: The Wheatstone Bridge works by comparing the ratio of two resistances in one leg of the circuit to the ratio of two known resistances in the other leg, allowing for precise measurement of unknown resistance.
Ready to enhance your understanding of the Wheatstone Bridge? Dive into our practice MCQs and test your knowledge today! Mastering these important Wheatstone Bridge questions for exams will give you the confidence you need to excel.
