Drop Capacitor

capacitors with dielectrics question please help?
a capacitor with air between its plates is charged to 100 V and then disconnected from the battery. when a piece of glass is placed between the plates, the voltage across the capacitor drops to 25 V. what is the dielectric constant of the glass?
c = Q/▲v
c=kεA/d
Q/▲v = kεA/d–>with glass
Q/▲v = kεA/d –>air k = 1 —> Q/▲v = εA/d
what are constants:
A doesn’t change
ε is constant
d is constant
Q is constant
what we have here is two equations and 2 unknown
eq 1 =Q/▲v = kεA/d
eq 2 =Q/▲v = εA/d
fastest way is to slove for Qd two birds with one stone
solve for Qd in equation 1 we get Qd = kεA▲v
solve for Qd in equation 2 we get Qd = εA▲v
now plug that into eq 1 into 2 we get
kεA▲v = εA▲v
k = 100 V / 25V
k = 4
Vintage white strat (with EJ style pickups)
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