An ammeter of resistance 0.81 ohm reads up to 1 A. The value of therequired shunt to increase the range to 10 A is(a) 0.9 ohm (b ) 0.09 ohm (c) 0.03 ohm (d) 0.3 ohm
Question
An ammeter of resistance 0.81 ohm reads up to 1 A. The value of therequired shunt to increase the range to 10 A is(a) 0.9 ohm (b ) 0.09 ohm (c) 0.03 ohm (d) 0.3 ohm
Solution
The shunt resistance (Rs) can be calculated using the formula:
Rs = (Ra * Im) / (I - Im)
where: Ra = Ammeter resistance = 0.81 ohm Im = Maximum current that the ammeter can read = 1 A I = Desired maximum current = 10 A
Substituting the given values into the formula, we get:
Rs = (0.81 * 1) / (10 - 1) Rs = 0.81 / 9 Rs = 0.09 ohm
So, the value of the required shunt to increase the range to 10 A is 0.09 ohm. Therefore, the correct answer is (b) 0.09 ohm.
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