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As shown in Figure , a coaxial capacitor of length l= 5 cm consists of two cylindrical conductors with radii of 1cm and cm respectively. A nonconductive dielectric material with ɛ, = 12 fills the space in between the conductors. Given that an alternating voltage of V(t) = 12 sin(40nt) (V) is applied across the terminals of the capacitor, answer the following, a. Derive an expression for the capacitance of this capacitor in terms of given quantities. dv b. Basic circuit theory states that an alternating current I = Cmust flow through dt the capacitor. Find the expression of this current by use of the given differential relation. V(t) Figure

As shown in Figure , a coaxial capacitor of length l= 5 cm consists of two cylindrical conductors with radii of 1cm and cm respectively. A nonconductive dielectric material with ɛ, = 12 fills the space in between the conductors. Given that an alternating voltage of V(t) = 12 sin(40nt) (V) is applied across the terminals of the capacitor, answer the following, a. Derive an expression for the capacitance of this capacitor in terms of given quantities. dv b. Basic circuit theory states that an alternating current I = Cmust flow through dt the capacitor. Find the expression of this current by use of the given differential relation. V(t) Figure

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As shown in Figure , a coaxial capacitor of length l= 5 cm consists of two cylindrical conductors with radii of 1cm and cm respectively. A nonconductive dielectric material with ɛ, = 12 fills the space in between the conductors. Given that an alternating voltage of V(t) = 12 sin(40nt) (V) is applied across the terminals of the capacitor, answer the following, a. Derive an expression for the capacitance of this capacitor in terms of given quantities. dv b. Basic circuit theory states that an alternating current I = Cmust flow through dt the capacitor. Find the expression of this current by use of the given differential relation. V(t) Figure
Transcribed Image Text:As shown in Figure , a coaxial capacitor of length l= 5 cm consists of two cylindrical conductors with radii of 1cm and cm respectively. A nonconductive dielectric material with ɛ, = 12 fills the space in between the conductors. Given that an alternating voltage of V(t) = 12 sin(40nt) (V) is applied across the terminals of the capacitor, answer the following, a. Derive an expression for the capacitance of this capacitor in terms of given quantities. dv b. Basic circuit theory states that an alternating current I = Cmust flow through dt the capacitor. Find the expression of this current by use of the given differential relation. V(t) Figure
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