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1.What is the (A) total charge (Qtotal) and the charge on each capacitor of the given series diagram? What is the (B) voltage across each capacitor? +q 10 uF C₁ 100 V 15 uF +q *q +q 三国 C2 20 uF C3 ng

1.What is the (A) total charge (Qtotal) and the charge on each capacitor of the given series diagram? What is the (B) voltage across each capacitor? +q 10 uF C₁ 100 V 15 uF +q *q +q 三国 C2 20 uF C3 ng

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Solve the following completely (given, required, formula, solution, and answer), USE PROPER UNITS AND ENCIRCLE YOUR FINAL ANSWER. 1. What is the (A) total charge (Qtotal) and the charge on each capacitor of the given series diagram? What is the (B) voltage across each capacitor? +q 10 μF C₁ 100 V 15 uF q +q 三国 C2 20 μF C3 ng
Transcribed Image Text:Solve the following completely (given, required, formula, solution, and answer), USE PROPER UNITS AND ENCIRCLE YOUR FINAL ANSWER. 1. What is the (A) total charge (Qtotal) and the charge on each capacitor of the given series diagram? What is the (B) voltage across each capacitor? +q 10 μF C₁ 100 V 15 uF q +q 三国 C2 20 μF C3 ng
Sample Problem 1 What is the total charge (Qotal) and the charge on each capacitor of the given diagram? 5 μF 7 μF 4HHH C₂ +q 3 μF C₁ 25 V Given: V=25 V C₁=3μF, C₂5μF, C₁=7μF Required: Qotal Q₂, Q₂, Q₁ =? Formula: c = or Q=CV and=++) +q₁ C3 -9₁ I C₂ Sample Activity 1 What is the voltage across each capacitor? (Q = 36.76 μC) 25 V C₂ +q -9₂ 3 μF C₁ -q+q Solution: 1 +q₁ C₁ 1 1 C-=(3μF + SUF+7AF) Ceq 7μF Quotal = CeqV Quotal (3HF + SUF+7F)(25V) Quotal (HF) (25V) = Quotal = (0.68 H) (25V) Quotal = 36.76μC 5 μF Capacitance in Parallel Connection • When the capacitors are connected in parallel, each of the capacitors in the circuit has direct interaction with the conductor. This results in the potential of the capacitor to remain the same for the whole circuit •The total charge is the sum of the individual charges. C₂ -q+q 7 μF C3 -q Capacitors are connected together in parallel when both of its terminals are connected to each V terminal of another capacitor. ◆B Capacitance in Parallel Connection Since The total charge is equal to the sum of the charges on the capacitors, the formula for Charge Qal will be: Qotal Q₁+Q₂+Q₂ (9) Getting the equation for Charge from eq. 1 and writing with 2 capacitors will give: Q₁ = C₁V Q₂ = C₂V The total charge of the combination, and thus the total charge on the equivalent capacitor is: Q = Q₁ + Q₂ = V(C₁ + C₂) (10) Dividing both sides of the equation by V to Derive C (equivalent capacitance) will give: Q Ceq = C₁ + C₁₂ (11) The equivalent capacitance of a parallel combination equals the sum of the individual capacitances: Ceq = C₁ + C₂ + C3 + + C₂ (12)
Transcribed Image Text:Sample Problem 1 What is the total charge (Qotal) and the charge on each capacitor of the given diagram? 5 μF 7 μF 4HHH C₂ +q 3 μF C₁ 25 V Given: V=25 V C₁=3μF, C₂5μF, C₁=7μF Required: Qotal Q₂, Q₂, Q₁ =? Formula: c = or Q=CV and=++) +q₁ C3 -9₁ I C₂ Sample Activity 1 What is the voltage across each capacitor? (Q = 36.76 μC) 25 V C₂ +q -9₂ 3 μF C₁ -q+q Solution: 1 +q₁ C₁ 1 1 C-=(3μF + SUF+7AF) Ceq 7μF Quotal = CeqV Quotal (3HF + SUF+7F)(25V) Quotal (HF) (25V) = Quotal = (0.68 H) (25V) Quotal = 36.76μC 5 μF Capacitance in Parallel Connection • When the capacitors are connected in parallel, each of the capacitors in the circuit has direct interaction with the conductor. This results in the potential of the capacitor to remain the same for the whole circuit •The total charge is the sum of the individual charges. C₂ -q+q 7 μF C3 -q Capacitors are connected together in parallel when both of its terminals are connected to each V terminal of another capacitor. ◆B Capacitance in Parallel Connection Since The total charge is equal to the sum of the charges on the capacitors, the formula for Charge Qal will be: Qotal Q₁+Q₂+Q₂ (9) Getting the equation for Charge from eq. 1 and writing with 2 capacitors will give: Q₁ = C₁V Q₂ = C₂V The total charge of the combination, and thus the total charge on the equivalent capacitor is: Q = Q₁ + Q₂ = V(C₁ + C₂) (10) Dividing both sides of the equation by V to Derive C (equivalent capacitance) will give: Q Ceq = C₁ + C₁₂ (11) The equivalent capacitance of a parallel combination equals the sum of the individual capacitances: Ceq = C₁ + C₂ + C3 + + C₂ (12)
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