A charge of 50 µC is placed on the y axis at y = 3.0 cm and a 77-µC charge is placed on the x axis at x = 4.0 cm. If both charges are held fixed, what is the magnitude of the initial acceleration of an electron released from rest at the origin, in units of 1020 m/s2?

The acceleration of an electron is

Explanation:

Given that,

One Charge = 50 μC

Distance on y axis = 3.0 cm

Second charge = 77 μC

Distance on x axis = 4.0 cm

We need to calculate the force on electron due to q₁

Using formula of force

Here, q = charge of electron

Put the value into the formula

We need to calculate the force on electron due to q₂

Using formula of force

Here, q = charge of electron

Put the value into the formula

We need to calculate the net force

Using formula of net force

Put the value into the formula

The magnitude of the net force

We need to calculate the acceleration of an electron

Using formula of force

Put the value into the formula

Hence, The acceleration of an electron is