A parallel-plate capacitor has charge of magnitude 9.60 µC on each plate and capacitance 3.60 µF when there is air between the plates. The plates are separated by 1.90 mm. With the charge on the plates kept constant, a dielectric with x = 7 is inserted between the plates, completely filling the volume between the plates. (Enter the magnitudes.) (a) What is the potential difference between the plates of the capacitor (in V) before and after the dielectric has been inserted? before V after V (b) What is the electrical field at the point midway between the plates (in V/m) before and after the dielectric is inserted? before V/m after V/m

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Chapter1: Units, Trigonometry. And Vectors
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**Topic: Parallel-Plate Capacitor and Dielectrics**

A parallel-plate capacitor has a charge of magnitude \(9.60 \, \mu\text{C}\) on each plate and a capacitance of \(3.60 \, \mu\text{F}\) when there is air between the plates. The plates are separated by \(1.90 \, \text{mm}\). When the charge on the plates is kept constant, a dielectric with \( \kappa = 7 \) is inserted between the plates, completely filling the volume between the plates. (Enter the magnitudes.)

**(a)** What is the potential difference between the plates of the capacitor (in V) before and after the dielectric has been inserted?
- **Before**: ______ V
- **After**: ______ V

**(b)** What is the electrical field at the point midway between the plates (in V/m) before and after the dielectric is inserted?
- **Before**: ______ V/m
- **After**: ______ V/m

*Note*: This exercise explores the effects of inserting a dielectric material in a capacitor, which increases the capacitance, decreases the potential difference, and alters the electric field.
Transcribed Image Text:**Topic: Parallel-Plate Capacitor and Dielectrics** A parallel-plate capacitor has a charge of magnitude \(9.60 \, \mu\text{C}\) on each plate and a capacitance of \(3.60 \, \mu\text{F}\) when there is air between the plates. The plates are separated by \(1.90 \, \text{mm}\). When the charge on the plates is kept constant, a dielectric with \( \kappa = 7 \) is inserted between the plates, completely filling the volume between the plates. (Enter the magnitudes.) **(a)** What is the potential difference between the plates of the capacitor (in V) before and after the dielectric has been inserted? - **Before**: ______ V - **After**: ______ V **(b)** What is the electrical field at the point midway between the plates (in V/m) before and after the dielectric is inserted? - **Before**: ______ V/m - **After**: ______ V/m *Note*: This exercise explores the effects of inserting a dielectric material in a capacitor, which increases the capacitance, decreases the potential difference, and alters the electric field.
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