What is the relationship between power and voltage?

The power and voltage are related through Power Rule .

Explanation :

Power Rule  states  that the current I  that flows the element in the circuit  with a loss in voltage V,  then the amount of  power dissipated by that element in the circuit is the   multiplicative product of  voltage and the current.

Mathematically, power law  is

The rate of work done or the rate of energy consumption or production is  termed as power.Unit of power is denoted as W(watts).

Potential energy between  any two points on a circuit is called as  Voltage and is measured in volts (V) .

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle

the answer is the first electromagnet (a). this is because it has more coils around the ferromagnetic material. increasing the number of coils increases the surface area in which the metal interacts with the current in the coil. this enables more atoms in the metal to become aligned hence becoming more magnetized.