prove that W=V×A
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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.
Rearranging the equation to solve for current, we get I = P/V.
Substituting this value of current into the equation for power, we get P = V(P/V), which simplifies to P = P.
Therefore, we can also say that P = VI = V(P/V) = V*(I*V), which can be further simplified to P = IV^2.
Since P = IV^2, we can rearrange this equation to solve for either current or voltage.
If we solve for current, we get I = P/V.
If we solve for voltage, we get V = sqrt(P/I) or V = (P/I)^(1/2).
Substituting the values of voltage and current into the equation for power, we get P = V*I.
Therefore, we can conclude that P = VI = V*I = W, where W is power in watts, V is voltage in volts, and I is current in amperes.
Thus, we have shown that power in watts is equal to voltage in volts multiplied by current in amperes, which can be expressed as W = V*A.