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(a) Find the charge stored when 5.50 V is applied to an 8.00pF capacitor. (b) What voltage must be applied to an 8.00nF capacitor to store 0.160 mC of charge? A proton enters the uniform electric field produced by the two charged plates shown below. The electric potential difference between the two plates is V = 4.00kV and the two plates are separated by 1.00cm. (c) What is the electric field that fills the inside of the capacitor? The speed of the proton when it enters is 1.5 x 10 m/s. (d) What distance d has the proton been deflected downward when it leaves the plates? + + 12.0 cm- d

(a) Find the charge stored when 5.50 V is applied to an 8.00pF capacitor. (b) What voltage must be applied to an 8.00nF capacitor to store 0.160 mC of charge? A proton enters the uniform electric field produced by the two charged plates shown below. The electric potential difference between the two plates is V = 4.00kV and the two plates are separated by 1.00cm. (c) What is the electric field that fills the inside of the capacitor? The speed of the proton when it enters is 1.5 x 10 m/s. (d) What distance d has the proton been deflected downward when it leaves the plates? + + 12.0 cm- d

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### Capacitor and Electric Field Problem Set **Questions:** (a) Find the charge stored when 5.50 V is applied to an 8.00 pF capacitor. (b) What voltage must be applied to an 8.00 nF capacitor to store 0.160 mC of charge? (c) A proton enters the uniform electric field produced by the two charged plates shown below. The electric potential difference between the two plates is \( V = 4.00 \text{kV} \) and the two plates are separated by \( 1.00 \text{cm} \). What is the electric field that fills the inside of the capacitor? The speed of the proton when it enters is \( 1.5 \times 10^7 \text{m/s} \). (d) What distance \( d \) has the proton been deflected downward when it leaves the plates? **Diagram Explanation:** The diagram illustrates two parallel plates that generate a uniform electric field between them. The plates are separated by a distance of \( 1.00 \text{cm} \). - The upper plate is positively charged, and the lower plate is negatively charged, as depicted by the signs on the plates. - Red arrows between the plates indicate the direction of the electric field, pointing from the positive to the negative plate. - A proton is illustrated entering the field from the left, along a horizontal path above the lower plate. The path of the proton is shown deflecting downward as it exits the field on the right side, indicating the influence of the electric field on the proton’s path. - The trajectory of the proton is represented by a green dashed line, with the deflection distance labeled as \( d \). - The length of the plates is given as \( 12.0 \text{cm} \). This setup is used to analyze the behavior of charged particles in electric fields and understand concepts like charge storage, capacitance, and particle motion under the influence of electric forces.
Transcribed Image Text:### Capacitor and Electric Field Problem Set **Questions:** (a) Find the charge stored when 5.50 V is applied to an 8.00 pF capacitor. (b) What voltage must be applied to an 8.00 nF capacitor to store 0.160 mC of charge? (c) A proton enters the uniform electric field produced by the two charged plates shown below. The electric potential difference between the two plates is \( V = 4.00 \text{kV} \) and the two plates are separated by \( 1.00 \text{cm} \). What is the electric field that fills the inside of the capacitor? The speed of the proton when it enters is \( 1.5 \times 10^7 \text{m/s} \). (d) What distance \( d \) has the proton been deflected downward when it leaves the plates? **Diagram Explanation:** The diagram illustrates two parallel plates that generate a uniform electric field between them. The plates are separated by a distance of \( 1.00 \text{cm} \). - The upper plate is positively charged, and the lower plate is negatively charged, as depicted by the signs on the plates. - Red arrows between the plates indicate the direction of the electric field, pointing from the positive to the negative plate. - A proton is illustrated entering the field from the left, along a horizontal path above the lower plate. The path of the proton is shown deflecting downward as it exits the field on the right side, indicating the influence of the electric field on the proton’s path. - The trajectory of the proton is represented by a green dashed line, with the deflection distance labeled as \( d \). - The length of the plates is given as \( 12.0 \text{cm} \). This setup is used to analyze the behavior of charged particles in electric fields and understand concepts like charge storage, capacitance, and particle motion under the influence of electric forces.
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