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A Sign in Penacook, New Hampshire

Basic Electronics. A Sign in Penacook, New Hampshire. I, V Relations for R, L and C (Table 4.1). R, L and C Combinations. Series: R, L and 1/C add. Parallel: 1/R, 1/L and C add. Figures 4.5 and 4.6. Basic Electronics – R, C and L. Determine the DC potential difference across

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A Sign in Penacook, New Hampshire

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  1. Basic Electronics A Sign in Penacook, New Hampshire

  2. I, V Relations for R, L and C(Table 4.1)

  3. R, L and C Combinations Series: R, L and 1/C add Parallel: 1/R, 1/L and C add Figures 4.5 and 4.6

  4. Basic Electronics – R, C and L Determine the DC potential difference across 2 inductors in parallel: V(t) = LTdI/dt = [L1L2/(L1+L2)]dI/dt = 0

  5. Basic Electronics – R, C and L • For R, C, and L combination in series: V(t) = IR + (1/C)∫I(t)dt + LdI/dt Potential Difference: I(t) = V/R = CdV/dt = (1/L)∫V(t)dt Current: • For R, C, and L combination in parallel: Potential Difference: V(t) = IR = (1/C)∫I(t)dt = LdI/dt I(t) = V/R + CdV/dt + (1/L)∫V(t)dt Current:

  6. Kirchhoff’s Laws Node: a point in a circuit where any two of more elements meet Loop: a closed path going from one circuit node back to itself without passing through any intermediate node more than once Kirchhoff’s first (or current) law: at a circuit node, the current flowing into the node equals the current flowing out (charge is conserved) Kirchhoff’s second (or voltage) law: around a circuit loop, the sum of the voltages equal zero (energy is conserved)

  7. Example RLC Circuit • Consider a RLC circuit used in a ‘Dynamic System • Response’ laboratory exercise, p 513 • Using Kirchoff’s Voltage Law, determine the expression for this circuit that relates Eo to Ei.

  8. R • Ei, R, L and C are in series → • Recall that I=dQ/dt → This is a linear, 2nd-order ODE, See eq. H.47 p 514

  9. Now examine another loop and apply Kirchoff’s Voltage • Law again. • So, to find Eo, we must first find Q → we must integrate • the previous 2nd-order ODE. • The solution is presented in Appendix H of the text, see • Eq H.48.

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