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2. Two square conducting plates with sides of length are L separated by a distance A dielectric slab with constant with D. K dimensions is inserted a distance into the space x between the plates, as shown in Fig below. Dielectric constant K KDX a) Find the capacitance C of this system. b) (b) Suppose that in the give figure capacitor is connected to a battery that maintains a constant potential difference between the plates. If the dielectric slab is inserted an additional distance into the space dx between the plates, Find the change in stored energy
Transcribed Image Text:2. Two square conducting plates with sides of length are L separated by a distance A dielectric slab with constant with D. K dimensions is inserted a distance into the space x between the plates, as shown in Fig below. Dielectric constant K KDX a) Find the capacitance C of this system. b) (b) Suppose that in the give figure capacitor is connected to a battery that maintains a constant potential difference between the plates. If the dielectric slab is inserted an additional distance into the space dx between the plates, Find the change in stored energy
c) Suppose that before the slab is moved by the plates are disconnected from the battery, so that the charges on the plates remain constant. Determine the magnitude of the charge on each plate, and then find change in stored energy when the slab is moved farther dx into the space between the plates, .How does this change in energy compared to obtained in (b). d) If F is the force exerted on the slab by the charges on the plates, then change in energy obtained in part (b) should be equal the work done against this force to move the slab a distance. Show that by applying this condition to the result of part (b) suggests that the electric force on the slab pushes it out of the capacitor, while the result of part (c) suggests that the force pulls the slab into capacitor. Draw a diagram that shows the force pulls the slab into the capacitor. Explain why the result of part (b) gives an incorrect answer for the direction of this force and calculate the magnitude o of the force.
Transcribed Image Text:c) Suppose that before the slab is moved by the plates are disconnected from the battery, so that the charges on the plates remain constant. Determine the magnitude of the charge on each plate, and then find change in stored energy when the slab is moved farther dx into the space between the plates, .How does this change in energy compared to obtained in (b). d) If F is the force exerted on the slab by the charges on the plates, then change in energy obtained in part (b) should be equal the work done against this force to move the slab a distance. Show that by applying this condition to the result of part (b) suggests that the electric force on the slab pushes it out of the capacitor, while the result of part (c) suggests that the force pulls the slab into capacitor. Draw a diagram that shows the force pulls the slab into the capacitor. Explain why the result of part (b) gives an incorrect answer for the direction of this force and calculate the magnitude o of the force.
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