what is the relation between volts and amps?

Here's the extremely short answer. Conductors are always full of movable electric charges. Voltage pushes charges through the conductive object which has a certain amount of electrical resistance or "friction," and this heats up the resistive object. The flow rate of the moving charges is measured in amperes, while the transfer of electrical energy as well as the rate of heat output is measured in watts. The electrical resistance is measured in ohms.

First the watts and amperes. Watts and amps are somewhat confusing because these are the names of flows, yet we rarely talk about the STUFF that flows. (Could we ever understand water-flow without first grasping the "water" concept?!) Electric current isn't a stuff. Electric current is the flow of a stuff. What's the name of the stuff that flows during an electric current? The flowing stuff is called "Charge."

Volts measure the force pushing the electrons around in a circuit, and amperes measures how many of them (or how much "charge") flows through any part of the circuit in a fixed time.

In most circuits, (volts)/(amperes) = resistance (in ohms), where the resistance (R) is a constant that depends upon the circuit. That is "Ohm's Law". In AC circuits or circuits with diodes or "solid state" devices, Ohms law does not apply.

The relationship between volts and amps is described by Ohm's Law, which states that the current flowing through a conductor (in amps) is directly proportional to the voltage applied across it (in volts) and inversely proportional to the resistance of the conductor (in ohms). The formula to express this relationship is:

Current (in amps) = Voltage (in volts) / Resistance (in ohms)

In simpler terms, volts and amps are related through the concept of electrical resistance. When the resistance is held constant, increasing the voltage will result in an increase in current. Conversely, if the voltage remains constant and the resistance is increased, the current will decrease.

To determine the relationship between volts and amps in a specific circuit, you need to know the voltage applied across the circuit and the resistance of the conductive path. Using Ohm's Law, you can then calculate the current flowing through the circuit.