Q. 514.9( 7 Votes )

A block a mass m having a charge q is placed on a smooth horizontal table and is connected to a wall through an unstressed spring of spring constant κ as shown in figure. A horizontal electric field E parallel to the spring is switched on. Find the amplitude of the resulting SHM of the block.

Answer :

Mass of the block: m
Charge of the block: q
Formula used:
When a charged body of charge q and mass m is brought under an horizontal electric field E, it will experience electric force Fe in the direction of the field.
When the block is accelerated due to the electric force, the spring will cause a restoring spring force in the opposite direction.
Spring force is:
Fs = -kx

Where, k is the spring constant and x is the distance the spring is stretched or compressed.
Here x is the amplitude.
Fe = Fs
qE = -kx
We used modulus as the amplitude cannot be negative.
is the amplitude of the resulting SHM of the block.

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