Question

In: Physics

Consider an equilateral triangle with sides measuring 1.0 m in length. At each point of the...

Consider an equilateral triangle with sides measuring 1.0 m in length. At each point of the triangle is a +2.0 ?C charge. Calculate the Coulomb force on each charge. Recall that forces are vectors and thus your answer will require a magnitude and direction for each of the three forces.

Solutions

Expert Solution

The force between the two charges is given by the coulombs law,

. .. ... .. . (1)

Where and are two charges, r is the distance of the separation.

k is constant whose value is ..

Given,

Clearly all charges are equal,

Let's first calculate total charge on first charge . Since charges are equal so similar force will be experienced by all charges.

Force on q1 due to q2,

.. . . . (2)

Force on q1 due to q3

. . .. ...............(3)

Now, breaking the components into x and y.

Calculating the sum for forces along x and y axis,

Putting values from eq 2 and 3.

For y axis,

Putting values from 2 and 3.

Net force on charge q1 is only along your axis, since x components cancel out. Only y components add up.

Putting q = 2 C

r = 1 m

Newton

This is the Net force on charge 1 and j denotes the direction along y axis..

Similar force will be experienced by other two charges also.

genius_generous answered 8 months ago

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