An LDR was placed near a light source. The following results were recorded: potential difference = 5.50V current = 12.5 mA. Which equation
links current, potential difference and resistance? *

V = 440I

Explanation:

According to ohm's law which states that the current passing through a metallic conductor at constant temperature is directly proportional to the potential difference across its ends.

Let V be the potential difference

I is the current

R is the resistance

Mathematically;

V∝I

V = IR

Given

Potential difference V = 5.50Volts

Current = 12.5mA = 12.5*10^-3A

Current  I = 0.0125A

Recall that V = IR

R = V/I

Substitute the given parameters into the formula;

R = 5.50/0.0125

R = 440 ohms

Hence the equation that links current, potential difference and resistance is expressed as;

V = I(440)

V = 440I

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