Capacitor Problem: Charges and Potential Differences on Metallic Plates

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In summary, the conversation is about a capacitor problem with four metallic plates. Plate 2 has a charge Q, while plates 1 and 4 are earthed. The area of each plate is the same. The questions pertain to the charge appearing on the right side of plates 3 and 4, and the potential difference between plates 1 and 2. The solution involves the flow of charge from plate 4 to plate 1, resulting in a charge of +3Q/4 on plate 1 and +Q/4 on plate 4, and a charge of +Q/4 on the right side of plate 3.
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twinklealices
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capacitor problem ..help please!

Homework Statement


Four metallic plates are placed as shown (attachment). Plate 2 is given charge Q whereas all other plates are uncharged initially .Plate 1 and 4 are earthed.The area(A) of each plate is same .
q1) The charge appearing on the right side of plate 3 is--
a) zero b) +Q/4 c) -3Q/4 d) Q/2

q2) The charge appearing on the right side of plate 4 is--
a)zero b) -Q/4 c) -3Q/4 d) -Q/4

q3) The potential difference between plates 1 and 2 is--
a) 3Qd/2εA b)Qd/εA c)3Qd/4εA d)3Qd/εA

Homework Equations



Well I tried taking the charge on left side of plate 2 to be q and the other side of it to be Q-q...then i proceed by applying charges on all plates by induction ...but get q=Q...which is not right ...help!



The Attempt at a Solution

 

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Options of question 2 not correct and solution is that charge will flow from plate 4 to 1 due to high potential than 1. After equal potential at both plates charge +3Q/4 will be at 1 and +Q/4 will be at 4. so charge appearing on the right side of plate 3 will be +Q/4.
 

FAQ: Capacitor Problem: Charges and Potential Differences on Metallic Plates

What is a capacitor?

A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material called a dielectric. Capacitors are commonly used in electronic circuits to filter, store, and regulate electrical energy.

How do I solve a capacitor problem?

Solving a capacitor problem involves using the principles of capacitance, voltage, and charge. You will need to apply equations such as Q=CV, V=IR, and C=εA/d to determine the charge, voltage, and capacitance of the capacitor in question. It is also important to understand the circuit in which the capacitor is used and how it interacts with other components.

What are some common capacitor problems?

Some common capacitor problems include loss of capacitance due to aging, leakage of charge, and short circuits. These problems can be caused by factors such as high temperatures, excessive voltage, and poor quality materials. It is important to properly select and maintain capacitors to avoid these issues.

How do I choose the right capacitor for my circuit?

Choosing the right capacitor depends on the specific requirements of the circuit, such as the desired capacitance, voltage rating, and frequency. You will also need to consider the type of capacitor, such as electrolytic, ceramic, or film, and its physical size. It is recommended to consult a datasheet or seek guidance from an expert when selecting a capacitor.

What are some safety precautions to take when working with capacitors?

Capacitors can store a significant amount of electrical energy, so it is important to handle them with caution. Always discharge capacitors before handling them, and be sure to use appropriate personal protective equipment when working with high-voltage capacitors. It is also recommended to follow proper procedures for installation and maintenance to avoid potential hazards.

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