3. DETAILS PREVIOUS ANSWERS SERPSE9 27.P.077. MY NOTES ASK YOUR TEACHER Review problem. A parallel-plate capacitor consists of square plates of edge length { that are separated by a distance d, where d<
3. DETAILS PREVIOUS ANSWERS SERPSE9 27.P.077. MY NOTES ASK YOUR TEACHER Review problem. A parallel-plate capacitor consists of square plates of edge length { that are separated by a distance d, where d<
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Review problem. A parallel-plate capacitor consists of square plates of edge length ℓ that are separated by a distance d, where d<<ℓ. A potential difference ΔV is maintained between the plates. A material of dielectric constant κ fills half the space between the plates. The dielectric slab is withdrawn from the capacitor as shown in the figure.
(a) Find the capacitance when the left edge of the dielectric is at a distance x from the center of the capacitor. (Use the following as necessary: ℓ, ε0, κ, x, and d.)
(b) If the dielectric is removed at a constant speed v, what is the magnitude of the current in the circuit, and its direction, as the dielectric is being withdrawn? (Use the following as necessary: ℓ, ε0, κ, ΔV, v, and d.)
(b) If the dielectric is removed at a constant speed v, what is the magnitude of the current in the circuit, and its direction, as the dielectric is being withdrawn? (Use the following as necessary: ℓ, ε0, κ, ΔV, v, and d.)

Transcribed Image Text:3.
DETAILS
PREVIOUS ANSWERS
SERPSE9 27.P.077.
MY NOTES
ASK YOUR TEACHER
Review problem. A parallel-plate capacitor consists of square plates of edge length { that are separated by a distance d, where d<<l. A potential difference AV is maintained between the plates. A material of dielectric constant k fills half the space between the plates.
The dielectric slab is withdrawn from the capacitor as shown in the figure.
AV
(a) Find the capacitance when the left edge of the dielectric is at a distance x from the center of the capacitor. (Use the following as necessary: e, Eg, K, x, and d.)
1+K) +x(1 -K)
d
(b) If the dielectric is removed at a constant speed v, what is the magnitude of the current in the circuit, and its direction, as the dielectric is being withdrawn? (Use the following as necessary: {, ɛo, K, AV, v, and d.)
AVe, (x-1)
clockwise
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