Ba MasteringPhysics Assign x you\'re the ceo of a courier Drlon a https://sessio

Question

Ba MasteringPhysics Assign x you're the ceo of a courier Drlon a https://session.masteringphysics.com/myct/itemview?assign 46s19115somhet next PHYS 2120-001 e Google Problem 25.62 Part A A20 uF capacitor is charged to 29ov.tis then connected to an unchanged 1.0HF capacitor through a 2.2-kn resistor, by dosing switch s in the figure (Figure 1) Find the total energy dissipated in the resistor as the circuitoomes to equilibrium. Hint Think about charge oonservation your answer using two significant figures. 69.100 Subm Mr Answers up incorrect Try Again: 4 attempts remaining S 2.2 km 2.0 uF 1.0 uF

Explanation / Answer

we know that the two capacitors are in series then

1/Ceq=1/1+1/2 =1+0.5 =1.5

Then Ceq =0.666uF

Now it is the RC circuit

t =RC =(2.2*103)(0.666*10-6) =1.46ms

now charging a capacitor current is given by i =(e/R)e-t/RC =(290/2.2*103)e-1 =(0.1318/0.3678) =0.358A

Now the power dissipated in the resistor is given by

P =i2*R =(0.358)2*2200 =282.58J =0.282mJ

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