The Motor Effect (HSC SSCE Physics): Flashcards

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Forces on Parallel Current-Carrying Wires
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Magnetic field formula around current-carrying wire

B=μ0I2πrB = \frac{\mu_0 I}{2\pi r}

Value of μ0\mu_0 (permeability of free space)

4π×1074\pi \times 10^{-7} T m A⁻¹

Shape of magnetic field around current-carrying wire

Concentric circular loops

Right-hand rule for magnetic field direction

Thumb=current direction, fingers curl=field direction

Force between parallel wires formula

F=μ0I1I22πrF = \frac{\mu_0 I_1 I_2 \ell}{2\pi r}

Force direction when currents flow same direction

Attractive (wires pull together)

Force direction when currents flow opposite directions

Repulsive (wires push apart)

Force per unit length between parallel wires

F=μ0I1I22πr\frac{F}{\ell} = \frac{\mu_0 I_1 I_2}{2\pi r}

Newton's third law for parallel wire forces

Fby 2 on 1=Fby 1 on 2F_{\text{by 2 on 1}} = -F_{\text{by 1 on 2}}

Force per unit length in ampere definition

2×1072 \times 10^{-7} N m⁻¹ (for 1 A, 1 m apart)

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