Electric Resistance and OHM's Law
ICSE · Class 12 · Physics
All formulas from Electric Resistance and OHM's Law in ICSE Class 12 Physics. Key equations, constants, and identities for board exam preparation.
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1. Electric Current and Current Density
I = Q/t ; instantaneous I = dQ/dt
j = I/A ; I = j.A cos(theta) ; I = ∫ j.dA
I = neAv_d ; j = nev_d
a = F/m = -eE/m ; v_d = a*tau = -(e*tau/m)*E
2. Mobility, Relaxation Time, and Mean Free Path
mu_e = v_d/E = e*tau/m
tau = lambda/v_rms
3. Ohm's Law, Resistance, and Conductance
R = V/I
Ohm's law: V directly proportional to I when physical conditions are constant
G = 1/R
1 ohm = 1 volt/ampere
4. Derivation Links: Drift Velocity, Current, and Ohm's Law
I = neAv_d
j = nev_d
v_d = (e*tau/m)*(V/l)
R = (m/(n e^2 tau))*(l/A)
rho = m/(n e^2 tau)
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