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Learning Goal: To understand the meaning of capacitance and ways of calculating capacitance Part E When a positive charge q is placed on a conductor that is insulated from ground, an electric field emanates from the conductor to ground, and the conductor will have a nonzero potential V relative to ground. If more charge is placed on the conductor, this voltage will increase proportionately. The ratio of charge to voltage is called the capacitance C of this conductor: C = q/V. Consider an air-filled charged capacitor. How can its capacitance be increased? O Increase the charge on the capacitor. O Decrease the charge on the capacitor. Figure < 1 of 1 O Increase the spacing between the plates of the capacitor. Decrease the spacing between the plates of the capacitor. Increase the length of the wires leading to the capacitor plates. A E Part F O O O O O

Learning Goal: To understand the meaning of capacitance and ways of calculating capacitance Part E When a positive charge q is placed on a conductor that is insulated from ground, an electric field emanates from the conductor to ground, and the conductor will have a nonzero potential V relative to ground. If more charge is placed on the conductor, this voltage will increase proportionately. The ratio of charge to voltage is called the capacitance C of this conductor: C = q/V. Consider an air-filled charged capacitor. How can its capacitance be increased? O Increase the charge on the capacitor. O Decrease the charge on the capacitor. Figure < 1 of 1 O Increase the spacing between the plates of the capacitor. Decrease the spacing between the plates of the capacitor. Increase the length of the wires leading to the capacitor plates. A E Part F O O O O O

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**Learning Goal:** To understand the meaning of capacitance and ways of calculating capacitance. When a positive charge \( q \) is placed on a conductor that is insulated from ground, an electric field emanates from the conductor to ground, and the conductor will have a nonzero potential \( V \) relative to ground. If more charge is placed on the conductor, this voltage will increase proportionately. The ratio of charge to voltage is called the **capacitance** \( C \) of this conductor: \[ C = q/V. \] --- **Figure** The diagram depicts two parallel plates with charges +q and -q. The plates are separated by a distance \( d \). An electric field \( E \) is shown between the plates, indicating the direction from the positive to the negative plate. --- **Part E** Consider an air-filled charged capacitor. How can its capacitance be increased? - Increase the charge on the capacitor. - Decrease the charge on the capacitor. - Increase the spacing between the plates of the capacitor. - Decrease the spacing between the plates of the capacitor. - Increase the length of the wires leading to the capacitor plates.
Transcribed Image Text:**Learning Goal:** To understand the meaning of capacitance and ways of calculating capacitance. When a positive charge \( q \) is placed on a conductor that is insulated from ground, an electric field emanates from the conductor to ground, and the conductor will have a nonzero potential \( V \) relative to ground. If more charge is placed on the conductor, this voltage will increase proportionately. The ratio of charge to voltage is called the **capacitance** \( C \) of this conductor: \[ C = q/V. \] --- **Figure** The diagram depicts two parallel plates with charges +q and -q. The plates are separated by a distance \( d \). An electric field \( E \) is shown between the plates, indicating the direction from the positive to the negative plate. --- **Part E** Consider an air-filled charged capacitor. How can its capacitance be increased? - Increase the charge on the capacitor. - Decrease the charge on the capacitor. - Increase the spacing between the plates of the capacitor. - Decrease the spacing between the plates of the capacitor. - Increase the length of the wires leading to the capacitor plates.
**Part F** Consider a charged parallel-plate capacitor. Which combination of changes would quadruple its capacitance? - Double the charge and double the plate area. - Double the charge and double the plate separation. - Halve the charge and double the plate separation. - Halve the charge and double the plate area. - Halve the plate separation; double the plate area. - Double the plate separation; halve the plate area.
Transcribed Image Text:**Part F** Consider a charged parallel-plate capacitor. Which combination of changes would quadruple its capacitance? - Double the charge and double the plate area. - Double the charge and double the plate separation. - Halve the charge and double the plate separation. - Halve the charge and double the plate area. - Halve the plate separation; double the plate area. - Double the plate separation; halve the plate area.
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