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If current in a moving coil galvanometer is increased by 1%, then percentage increase in its deflection will be
- a)1%
- b)2%
- c)3%
- d)0.5%
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If current in a moving coil galvanometer is increased by 1%, then perc...
Explanation:
A moving coil galvanometer is an instrument used to detect and measure small electric currents. The deflection of the galvanometer is directly proportional to the current passing through it. Let's assume that the current passing through the galvanometer is I and the deflection produced is D.
When the current passing through the galvanometer is increased by 1%, the new current passing through the galvanometer will be:
New current, I' = I + 0.01I = 1.01I
Now, we need to find the percentage increase in deflection, which can be calculated as follows:
Percentage increase in deflection = [(New deflection - Old deflection) / Old deflection] x 100%
Since the deflection of the galvanometer is directly proportional to the current passing through it, we can say that:
Old deflection, D = kI
New deflection, D' = kI'
where k is the constant of proportionality.
Substituting the value of I' in the above equation, we get:
New deflection, D' = k(1.01I)
Now, the percentage increase in deflection can be calculated as follows:
Percentage increase in deflection = [(New deflection - Old deflection) / Old deflection] x 100%
= [(k(1.01I) - kI) / kI] x 100%
= [(0.01kI) / kI] x 100%
= 1%
Therefore, the percentage increase in deflection when the current passing through the galvanometer is increased by 1% is 1%.
A moving coil galvanometer is an instrument used to detect and measure small electric currents. The deflection of the galvanometer is directly proportional to the current passing through it. Let's assume that the current passing through the galvanometer is I and the deflection produced is D.
When the current passing through the galvanometer is increased by 1%, the new current passing through the galvanometer will be:
New current, I' = I + 0.01I = 1.01I
Now, we need to find the percentage increase in deflection, which can be calculated as follows:
Percentage increase in deflection = [(New deflection - Old deflection) / Old deflection] x 100%
Since the deflection of the galvanometer is directly proportional to the current passing through it, we can say that:
Old deflection, D = kI
New deflection, D' = kI'
where k is the constant of proportionality.
Substituting the value of I' in the above equation, we get:
New deflection, D' = k(1.01I)
Now, the percentage increase in deflection can be calculated as follows:
Percentage increase in deflection = [(New deflection - Old deflection) / Old deflection] x 100%
= [(k(1.01I) - kI) / kI] x 100%
= [(0.01kI) / kI] x 100%
= 1%
Therefore, the percentage increase in deflection when the current passing through the galvanometer is increased by 1% is 1%.
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Community Answer
If current in a moving coil galvanometer is increased by 1%, then perc...
Explanation:
- When the current in a moving coil galvanometer is increased by 1%, the magnetic field strength created by the current also increases by 1%.
- The deflection of a moving coil galvanometer is directly proportional to the magnetic field strength.
- Therefore, an increase of 1% in current will result in a 1% increase in the deflection of the galvanometer.
Therefore, the percentage increase in deflection will be 1%. Hence, option A is correct.
- When the current in a moving coil galvanometer is increased by 1%, the magnetic field strength created by the current also increases by 1%.
- The deflection of a moving coil galvanometer is directly proportional to the magnetic field strength.
- Therefore, an increase of 1% in current will result in a 1% increase in the deflection of the galvanometer.
Therefore, the percentage increase in deflection will be 1%. Hence, option A is correct.
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