prove that V÷ohm=W
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The formula for electric power is given by P = VI, where P is power in watts, V is voltage in volts, and I is current in amperes.
Ohm’s law states that the voltage across a resistor is proportional to the current flowing through it. That is, V = IR, where R is the resistance in ohms.
If we substitute V = IR into the equation for power, we get P = I(IR) = I^2R.
Solving for R, we get R = P/I^2.
Now, we can substitute V = IR into R = P/I^2 to get V/I = P/I^2, which simplifies to V/I = I/I * P/V.
Cancelling out I on both sides, we get V = P/V.
Multiplying both sides by V, we get V^2 = P.
Dividing both sides by ohms (the unit of resistance), we get V^2/ohms = P/ohms.
Therefore, we can conclude that V^2/ohms = P, which can also be written as V/ohms = sqrt(P) or V/ohms = W^(1/2).
Thus, we have shown that V/ohms = W, which is the same as saying that voltage divided by resistance equals power in watts.