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The switch in the circuit in (Figure 1) has been in the left position for a long time. At t- 0, it moves to the right position and stays there. Figure 1 of 1 sov 150 V+ 40 nF 30k60 k2 a) Find the initial voltage drop across the capacitor. b) Find the initial energy stored by the capacitor. c) Find the time constant of this circuit for t>0. d) Write the expression for the capacitor voltage v(t) for t 20. Express your answer in terms of t, where t is in seconds.

Sagot :

The initial voltage drop across the capacitor is 150v,b) The initial energy stored by the capacitor is 450 × [tex]10^{-6}[/tex]

Figure 1 of 1  150 V drop given ,So  across the capacitor is 150v

initial energy stored by the capacitor = 1/2 CVc(v)

energy = 1/2 × 40 × [tex]10^{-9}[/tex] × 150×150

             =  450 × [tex]10^{-6}[/tex]

the expression for the capacitor voltage v(t) for t 20 is

Vc(t) = Vc(α) + [Vc(0) - Vc(α)][tex]e^{t/T}[/tex]

By building up electric charges on two nearby surfaces that are isolated from one another, a capacitor is a device that stores electrical energy in an electric field. It is a two-terminal passive electrical component.

Capacitance is the name given to a capacitor's effect. While there is some capacitance between any two electrical conductors that are close to one another in a circuit, a capacitor is a component made to increase capacitance in a circuit. Condenser is a term that still appears in a few compound names for the capacitor, such as condenser microphone.

Practical capacitors come in many different shapes and sizes, and they are made of a large variety of materials. Most capacitors include two or more electrical conductors, frequently in the form of metallic plates.

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