current electricity Flashcards
the rate of flow of charge is called
electric current
thermal speed of a electron
root3kT/m (m= mass of electron, T= temp in kelvin)
chrge of electron
1.6 X 10^ -19 C
acc of electron
-eE/m (E=V/L, E= potential diff, V= emf of battery, L= length of conductor )
drift velocity
-eEτ/m (-eE/m = acc of electron)
relaxtion time of electron (τ)
total time taken/ no of collisions
relation between current and drift velocity
I= neA vd (n= no of free electrons, A= area of cross section, vd= drift velocity)
current denisty
I= int J. dA
relation between current density conductivity and electric field
J= ne^2 τ E/m
slope of the V vs T graph gives
resistance
temp affect on resistance
Rt= Ro(1+ alpha delta t) (Rt=resistance at t temp,R0= resistance at 0 c, delta t= increase in temp, alpha=temp coeff )
resistivity
ρ= RA/l
whats is called the balance point of wheatstone bridge
when Vc= Vd (current in R5= 0)
whats the terminal voltage if the cell is discharging
V= E-Ir (E= emf of the cell, r= internal resistance of the cell, I= current)
current formula in form of emf and resistance
I= E/r+R
Greater the current drawn from the cell _____ is the terminal V
smaller
whats the terminal voltage if the cell is discharging
V= E-Ir
whats the terminal voltage if the cell is open circuit
V=E
whats the terminal voltage if the cell is short circuited
V=0
series combination of cells (current)
I= Enet/ rnet+ R (rnet= equivalent internal resistance, E net= equivalent emf )
parallel combination of cells (if m identical cells are connected in parallel)
I=mE/mR+r
the samll resistance connected in parallel to galvanometer coil in order to control current flowing through galvanometer is called
shunt resistance
Conversion of galvanometer to ammeter (formula)
Rs= Rg X ig/ (i-ig) [Rg= resistance of the coil of galvanometer, ig= current req to achieve full scale deflection of the galvanometer, i= current in ammmeter]
conversion of galvanometer to voltmeter
R= V/ig -Rg
joules law of heating
I^2 Rt= V^2 t / R= V I t
POWER formula
I^2 R= V^2/R= V I
POWER formula in terms of emf and internal resistance
P= E^2R/ (r+R)^2
when is P= P max
dP/dt= 0 or r= R
Pmax formu;la
E^2/ 4R OR E^2/ 4 r
power consumed if bulbs were in series
P total = P1 P2/ P1+P2
power consumed if bulbs were in parallel
P total = P1+ P2
if two heaters boils water in T1 and T2 what if both are connected in series then what would the total time taken to boil m kg of water
Ts = T1+ T2
if two heaters boils water in T1 and T2 what if both are connected in parallel then what would the total time taken to boil m kg of water
Tp = T1 T2/ T1+T2
fuse wire formulae
I^2 (ρl/ pi r^2) = H X 2pi rl
charging of capacitor
q= eC (1-e^ - t/RC)
discharging of capactor
q= q0 . e^ (-t/RC )
current at any time t (charging C)
i= Ɛ/R X e ^ (-t/RC)
voltage across C at time t (charging C)
V= Ɛ(1- e^(-t/RC))
voltage across resistor(charging C)
Vr= 0.37 Ɛ
heat generated(charging C)
1/2 X c Ɛ^2
current in C during discharging
q0 X e ^ (-t/RC) / RC