Resistor 1 has a resistance of 10 N and carries a current of 3 A. Resistor 2 has a resistance of
5 and carries a current of 10 A. Which resistor has
the greater potential difference?

Resistance 2.

Explanation:

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

Where;

Note: Voltage is the same as potential difference.

Given the following data;

Resistance 1  = 10 Ohms

Current 1 = 3 Amperes

Potential difference 1 = current * resistance

Potential difference 1 = 3 * 10

Potential difference 1 = 30 V

To find the potential difference in 2;

Resistance 2 = 5 Ohms

Current 2 = 10 Amperes

Potential difference 2 = 10 * 5

Potential difference 2 = 50 V

Therefore, Resistance 2 has greater potential difference.

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