Electrostatic Potential & Capacitance Flashcards
Electric Potential
work done per unit charge in bringing a positive test charge from infinity to a specific point in an electric field.
potential(v)=w/q
Potential due to single charge
V=KQ/R
Potential due to multiple charges
V= kQ1/r1+KQ2/r2+KQ3/r3
Electric Potential due to electric dipole
Vp=kpcos(theta)/r^2
equipotential surface
a surface where all points have the same potential, or electric potential
capacitance
C=q/V
capacitance of parallel plate capacitor
C=ε0*A/d
capacitor with dielectric
c=Cok (or) C=kε0*A/d
where
Co–>capacitance in vaccum
k–>dielectric constant
capacitor in series
1/cs=1/c1+1/c2+1/c3
capacitor in parallel
c=c1+c2+c3
capacitor with dielectric of thckness t
C=ε0*a/[d-t+(t/k)]
work done in arranging two charges in an external electric field
1)work done bringing q1 against electric field–>Q1V
2)work done bringing q2 against electric field–>Q2V
3) work done q2 against the force by q1 –> kq1q2/r
potential energy of a dipole in a uniform electric field
U=pE cos(oi-of)
energy loss in joining two capacitors
1/2* C1C2(V1-V2)^2 / C1+C2