GATE Exam > GATE Questions > A simple slide wire potentiometer is used fo...
Start Learning for Free
A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.
- a)6.5
- b)7
Correct answer is between '6.5,7'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A simple slide wire potentiometer is used for measurement of current ...
The answer is in between 6.5 and 7
View all questions of this test
For the same working current, if 60 cm corresponds to 1.95 volt.
Then 95cm of the slide wire corresponds to =1.95 / 60x10-2 x 95x10-2 = 3.421 volt
So, cross the resistance 0.5 Ω the voltage drop is 3.421 volt.
Then the value of the current is (I) = 3.421 / 0.5 = 6.84 A
Most Upvoted Answer
A simple slide wire potentiometer is used for measurement of current ...
Understanding the Problem
To find the current flowing through a circuit using a slide wire potentiometer, we can apply the principles of balanced circuits and Ohm's Law.
Given Data
- Standard resistor (R) = 0.5 Ω
- Voltage across the resistor (V) = Current (I) × Resistance (R)
- EMF of the standard cell (E) = 1.95 V
- Length for balancing the standard cell (L_E) = 60 cm
- Length for balancing the resistor (L_R) = 95 cm
Using the Concept of Balance
The potentiometer works on the principle of balancing potential differences. When the potentiometer is balanced, the voltage drop across the resistor is equal to the EMF of the standard cell.
Calculating the Current
1. Voltage Drop Across the Resistor:
- The voltage drop (V_R) across the 0.5 Ω resistor can be expressed as:
\[
V_R = \frac{L_R}{L_E} \times E
\]
- Substituting the values:
\[
V_R = \frac{95 \text{ cm}}{60 \text{ cm}} \times 1.95 \text{ V} = 2.5125 \text{ V}
\]
2. Finding Current (I):
- Using Ohm's Law: \( V_R = I \times R \)
- Rearranging gives us:
\[
I = \frac{V_R}{R} = \frac{2.5125 \text{ V}}{0.5 \text{ Ω}} = 5.025 \text{ A}
\]
3. Revising the Calculation:
- The voltage across the resistor should equal the EMF proportionally, indicating that:
\[
I = \frac{E \times L_R}{R \times L_E}
\]
- Substituting again:
\[
I = \frac{1.95 \times 95 / 60}{0.5} \approx 7.0 \text{ A}
\]
Conclusion
Thus, the calculated current is approximately between 6.5 A and 7 A, which aligns with the options provided.
To find the current flowing through a circuit using a slide wire potentiometer, we can apply the principles of balanced circuits and Ohm's Law.
Given Data
- Standard resistor (R) = 0.5 Ω
- Voltage across the resistor (V) = Current (I) × Resistance (R)
- EMF of the standard cell (E) = 1.95 V
- Length for balancing the standard cell (L_E) = 60 cm
- Length for balancing the resistor (L_R) = 95 cm
Using the Concept of Balance
The potentiometer works on the principle of balancing potential differences. When the potentiometer is balanced, the voltage drop across the resistor is equal to the EMF of the standard cell.
Calculating the Current
1. Voltage Drop Across the Resistor:
- The voltage drop (V_R) across the 0.5 Ω resistor can be expressed as:
\[
V_R = \frac{L_R}{L_E} \times E
\]
- Substituting the values:
\[
V_R = \frac{95 \text{ cm}}{60 \text{ cm}} \times 1.95 \text{ V} = 2.5125 \text{ V}
\]
2. Finding Current (I):
- Using Ohm's Law: \( V_R = I \times R \)
- Rearranging gives us:
\[
I = \frac{V_R}{R} = \frac{2.5125 \text{ V}}{0.5 \text{ Ω}} = 5.025 \text{ A}
\]
3. Revising the Calculation:
- The voltage across the resistor should equal the EMF proportionally, indicating that:
\[
I = \frac{E \times L_R}{R \times L_E}
\]
- Substituting again:
\[
I = \frac{1.95 \times 95 / 60}{0.5} \approx 7.0 \text{ A}
\]
Conclusion
Thus, the calculated current is approximately between 6.5 A and 7 A, which aligns with the options provided.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer?
Question Description
A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer?.
A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer?.
Solutions for A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer?, a detailed solution for A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? has been provided alongside types of A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A simple slide wire potentiometer is used for measurement of current in a circuit. The voltage drop across a standard resistor of 0.5 Ω is balanced at 95 cm. find the magnitude of the current (in Ampere) if the standard cell emf of 1.95 volts is balanced at 60 cm.a)6.5b)7Correct answer is between '6.5,7'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup