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change U = q * change in V |
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Electric Potential due to several Point Charges |
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U_E=1/(4π∈_o ) ((q_1 q_2)/r_1,2 +(q_1 q_3)/r_1,3 +(q_3 q_2)/r_3,2 ) |
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Change in Voltage across a uniform field |
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Q= C V C is capacitance for the capacitor and Q is the charge on each plate |
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Junction ∑▒〖Current in-∑▒〖Current Out 〗=0〗
Loop ∑▒〖ΔV=0〗 |
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V_c (t)= E(1-e^(-t/τ) ) τ is the time constant RC |
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Discharging an RC circuit |
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Definition
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Definition
(F_B ) ⃗=qv ⃗×B ⃗ Lorentz force (magnetic force on a point charge) |
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Circular Force of Magentic Field |
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F=(mv^2)/r=qvB For circular trajectory around B lines |
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Magnetic Force on a Straight Wire segment |
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Definition
F ⃑=IL ⃗×B ⃗ Magnetic Force on a straight line segment of current carrying wire |
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ϕ=BA cosΘ theta is the angle between B and the normal to the surface |
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E= - N*Δϕ/Δt N = loops phi = change in flux t = time interval E= EMF |
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A current in coil 1 causes a magnetic flux in current 2 N_1 ϕ_12=MI_2 |
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I(t)=I_f (1-e^(-t/τ) )
τ is time constant I_f is the final current |
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Time Constants for RC and LR circuits |
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You get average power as it current is calculated from the rms Voltage. therefore its the rms I you use. |
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V_c =I*Xc = I/(2 π f * C) |
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Phasor Diagrams and the RLC Circuit |
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Definition
the amplitude = (V_R^2+(V_L-V_C)^2)1/2
in AC E = IZ Z is impedance
Z = (R^2+(X_L-X_C)^2)1/2 |
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n=C/v
C speed of light v speed in other medium n is always bigger than 1 |
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I = < P >/A
average power A is area |
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I = I_o cos ^2 Θ
theta is angle between axis of transmission and the incident of polarizations |
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Angles and Laws of Reflection |
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Angle of incidence is equal to angle of Reflection |
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n_i sin Θ_i = n_t sin Θ_t |
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linear --> change in length/original length = alpha * change in temp
area--> change in area/original are = 2* alpha * change in temp |
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Work done on the system is equal to negative work done by the gas |
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change in entropy = change in heat/ temp |
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change in internal energy = mols * C * change in temp
C is D.O.F. C = 3/2 R for mono-atomic gasses C = 5/2 for diatomic gasses |
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