Please help me in deriving the equation P = VI
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P = Work / time = W / t
Now,
Potential difference = Work done / charge moved
V = W / Q
W = V*Q
Substituting this in P= W / t
P = W/t
P = V*Q/t. .......2
Now,
Current I = Charge Q / time t
I = Q/t
Now substituting this for Q / t in equation 2
P = V * Q / t
P = V * I
Hence derived.
Now,
Potential difference = Work done / charge moved
V = W / Q
W = V*Q
Substituting this in P= W / t
P = W/t
P = V*Q/t. .......2
Now,
Current I = Charge Q / time t
I = Q/t
Now substituting this for Q / t in equation 2
P = V * Q / t
P = V * I
Hence derived.
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