A3.50 îľf capacitor has a charge with a magnitude of 4.50 îľc on each parallel plate. find the potential difference between the plates.

Explanation:

The capacitance is defined as the relationship between the electric charge of each conductor and the potential difference between them. That is, it is the capacity of a device to store electrical charge.  

Mathematically it is defined as:  

Where:  

is the capacitance value of a capacitor.  

is the electric charge of the conductor

is the electric potential to which the conductor is located, measured in Volt.

Isolating :

Finally:

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

electric field is a function of 1/r^2

yes, the force per unit charge for a point charge is inverse square law.