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Correspondence Tables for 51

# Correspondence Tables for 51 - Correspondence Table for...

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Correspondence Table for analogous physical properties in physics 51 By Todd Sauke Mechanical system property Electrical circuit property Notes/relations x (position) q (charge) x-motion - Change of position q-motion – Change of charge Δ x = (x final - x initial ) Δ q = (q final - q initial ) always final - initial instantaneous velocity instantaneous current v = limit Δ t Æ 0 Δ x / Δ t = dx/dt i = limit Δ t Æ 0 Δ q/ Δ t = dq/dt instantaneous acceleration we don't give it a name a = limit Δ t Æ 0 Δ v / Δ t = dv/dt just use di/dt, or d 2 q/dt 2 force voltage E = electromotive force mass, m inductance, L Σ F x = m a x V = L di/dt spring constant, k capacitance, C (is like 1 / k ) we could call 1/k the spring "acceptance" F = k x V C = q / C springs in series (forces are equal) capacitors in parallel (V's are equal) ( and Δ x's add) ( and q's add) 1 / k equiv = 1 / k 1 + 1 / k 2 C equiv = C 1 + C 2 spring "acceptances" add springs in parallel (forces add) capacitors in series (V's add) ( and Δ x's are equal)

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Correspondence Tables for 51 - Correspondence Table for...

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