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The reason a moving coil galvanometer cannot be used with an alternating current is that
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The net magnetic field produced is zero
The typical coil galvanometer is based on the principle that, when a current carrying coil is placed in a magnetic field, the coil experiences a torque.
Since, the current in an AC averages out to zero, the net magnetic field produced will be zero. Hence, the average torque experienced in a given time interval would be zero. Therefore, there will be no deflection.
Since, the current in an AC averages out to zero, the net magnetic field produced will be zero. Hence, the average torque experienced in a given time interval would be zero. Therefore, there will be no deflection.
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