In the textbook, it was shown that the energy stored in a capacitor C charged to a potential V is U=12QV.
Express this energy in terms of the variables Q and C.
Express this energy in terms of the variables C and V.
Energy Stored in capacitor
U=(1/2)QV
since Voltage across capcitor is
V=Q/C
U=(1/2)(Q*Q/C)
U=(1/2)(Q2/C)
b)
Charge
Q=CV
Energy stored in capacitor
U=(1/2)(CV)*V
U=(1/2)CV2
given U = QV/2 ---------------1
use the eqn of charge Q as Q = CV ( from
definiton)
we get
in terms of Q and C
eliminate V from 1 ( for this use V = Q/C)
so U = Q * Q/C*2
so U = Q^2/2C ----------------<<<<<<<<<<<<<<<-answer to p;art A
---------------------------
in terms of A C and V , eliminate Q
U = CV * V/2
U = CV^2/C
--------------<<<<<<<<<<<<<,answer
to part B
In the textbook, it was shown that the energy stored in a capacitor C charged to...
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