Physics 3 Midterm 2 Equations

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15 Terms

1
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Magnetic Force in terms of Charge and Velocity

F = qv x B

<p>F = qv x B</p>
2
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Magnetic Force in terms of Current and Wire Length

F = Il x B

<p>F = Il x B</p>
3
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Magnetic Flux on an Open Surface

ΦB = ∫𝐵dA

<p>ΦB = ∫𝐵dA</p>
4
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Torque (magnetic dipole moment)

𝜏 = μ x B

<p>𝜏 = μ x B</p>
5
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Magnetic Field (charge-velocity version)


B = (μ0/4π) (qv x r)/r²

<p><br>B = (μ<sub>0</sub>/4π) (qv x r)/r²</p>
6
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Ampere’s Law

∮Bdl=μ0Iencl

<p>∮Bdl=μ<sub>0</sub>I<sub>encl</sub></p>
7
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Magnetic Field of a long, straight wire

B = μ0I/2πr

<p>B = μ<sub>0</sub>I/2πr</p>
8
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Magnetic field of a solenoid

B=μ0nI = μ0(N/L)I

<p>B=μ<sub>0</sub>nI = μ<sub>0</sub>(N/L)I</p>
9
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Magnetic field of a toroid

B = (μ0NI/2πr)

<p>B = (μ<sub>0</sub>NI/2πr)</p>
10
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Electric Field to Magnetic flux

ℰ = ∮Edl = -dφB/dt

<p>ℰ = ∮Edl = -dφ<sub>B</sub>/dt</p>
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Self-induced emf of an inductor

ℰ =-L di/dt

<p>ℰ =-L di/dt</p>
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Current as a function of time of an RL charging circuit

i = (ℰ/R)(1-e-(R/L)t)

<p>i = (ℰ/R)(1-e<sup>-(R/L)t</sup>)</p>
13
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Energy contained in the magnetic field of an inductor

U = (1/2)LI2

<p>U = (1/2)LI<sup>2</sup></p>
14
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Mutual Inductance

M = N2φB2/i1 = N1φB1/i2

<p>M = N<sub>2</sub>φ<sub>B2</sub>/i<sub>1</sub> = N<sub>1</sub>φ<sub>B1</sub>/i<sub>2</sub></p>
15
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Charge as a function of time in an LC circuit

q = Qcos(ωt + ∅)

<p>q = Qcos(ωt + ∅)</p>