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Study Guide for Stewart's Multivar...

8th Edition
Stewart + 1 other
ISBN: 9781305271845

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BuyFindarrow_forward

Study Guide for Stewart's Multivar...

8th Edition
Stewart + 1 other
ISBN: 9781305271845
Textbook Problem

A series circuit has a resistor with R = 15 Ω, an inductor with L = 2, a capacitor with C = 0.005 F and a 6-V battery. An equation for the charge Q at time t is:

  1. a) 2Q″ + 200Q′ + 15Q = 6
  2. b) 2Q″ + 6Q′ + 15Q = 200
  3. c) 2Q″ + 15Q′ + 200Q = 6
  4. d) 2Q″ + 15Q′ + 6Q = 200

To determine

To choose: The appropriate option for the statement “A series circuit has a resistor with R=15Ω, an inductor with L=2, a capacitor with C=0.005 F and a 6-V battery. An equation for the charge Q at time t is”.

Explanation

Definition used:

Electric circuits:

The equation for the electric circuits is LQ+RQ+1CQ=E(t), where, Q is the charge on the capacitor at time t, Q is the current, L is the inductance constant for an inductor

R is the resistance constant for a resistor, 1C is the elastance constant for a capacitor and E(t) is the electromotive force applied to a circuit.

Calculation:

Given that, the series has a resistor with R=15Ω, an inductor with L=2, a capacitor with C=0.005 F and a 6-V battery

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