Astraight nonconducting plastic wire 9.5 cm long carries a charge density of 100 nc/m distributed uniformly along its length. it is lying on a horizontal tabletop. a. find the magnitude and direction of the electric field this wire produces at a point 4.50 cm directly above its midpoint. b. if the wire is now bent into a circle lying flat on the table, find the magnitude and direction of the electric field it produces at a point 4.50 cm directly above its center.

Explanation:

Given that,

Length of wire = 9.5 cm =

Charge density = 100 NC/m

Distance = 4.50 cm

(A). We need to calculate the  the magnitude and direction of the electric field

Using formula of magnetic field

Here, x = distance from mid point of the wire

Put the value into the formula

The electric field is .

The direction of electric field is upward.

(B). If the wire is now bent into a circle lying flat on the table,

We need to calculate the the magnitude and direction of the electric field

Using formula of electric field

Put the value into the formula

The electric field is

The direction of electric field is upward.

Hence, This is the required solution.

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