Copyrighted material - Taylor & Francis

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Copyrighted material - Taylor & Francis

Magnetic circuits

General Charge Q = It Force F = ma

B=

 NI Fm = NI H = A l

W t

S=

mmf l =  μ0 μr A

Work W = Fs Power P = Energy W = Pt

Ohm’s law V = IR or I = Conductance G =

V V or R = R I

B = μ0 μr H

Electromagnetism F = BIlsin θ F = Qv B

1 R

V2 ρl Resistance R = R a Resistance at θ ◦ C, Rθ = R0 (1 +α0 θ )

Power P = VI = I 2R =

Terminal p.d. of source, V = E − Ir Series circuit R = R1 + R2 + R3 + · · · Parallel network

Part 1

Main formulae for Part 1 Basic electrical and electronic principles

1 1 1 1 + + + ··· = R R1 R2 R3

Electromagnetic induction E = Blv sin θ E = −N

d dI = −L dt dt

1 W = LI2 2 L=

N N2 = I S

E 2 = −M

dI1 dt

M=

N1 N2 S

Capacitors and capacitance V Q Q E= C= Q = It D = d V A D = ε0 εr E ε0 εr A(n − 1) C= d Capacitors in parallel C = C1 + C2 + C3 + · · · 1 1 1 1 Capacitors in series = + + + ··· C C1 C2 C3 1 W = CV2 2

Measurements Shunt Rs =

Ia r a V − I ra Multiplier R M = Is I

Power in decibels =10 log

I2 V2 P2 = 20 log = 20 log P1 I1 V1

R2 R3 R1   l2 Potentiometer E 2 = E 1 l1 Wheatstone bridge Rx =

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