Charges, Resistance & Electrical Current, Wavelength

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SUMMARY

This discussion focuses on three physics problems involving electric charges, resistance in a magnetic field, and light interference. The first question addresses the profile of the line formed by points of zero potential between charges +q and -2q separated by a distance of 6a. The second question involves a metal bar with resistance R sliding along rails in a magnetic field B, requiring derivation of expressions for resistance Rx and electric current I. The third question examines the arrangement of two mirrors and the conditions for the first maximum in light interference, defined by the wavelength λ.

PREREQUISITES
  • Understanding of electrostatics, specifically electric potential and charge interactions.
  • Knowledge of electromagnetism, particularly Faraday's law of induction and resistance calculations.
  • Familiarity with optics, especially the principles of light interference and mirror arrangements.
  • Basic mathematical skills for deriving expressions and solving equations.
NEXT STEPS
  • Study the concept of electric potential and equipotential lines in electrostatics.
  • Learn about Faraday's law of electromagnetic induction and its applications in circuit analysis.
  • Explore the principles of light interference and derive conditions for maxima and minima in interference patterns.
  • Investigate the behavior of resistors in series and parallel configurations within electrical circuits.
USEFUL FOR

Students of physics, educators teaching electromagnetism and optics, and anyone preparing for exams in these subjects will benefit from this discussion.

ranger12
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I am having difficulty with three questions, can anyone help me. I would appreciate it.

Here are the questions,

1. If distance between two charges +q and -2q is 6a, what is profile of the line formed by the points of zero potential?

2. A metal bar of length I and resistance R slides with no friction but with ideal electrical contact along supporting rails of negligible resistance perpendicular to the uniform magnetic field B. During time t bars covers a distance d. Resistors R0 and Rx are connected to the rails as shown in the figure. Resistor Rx is such that the power released across segment ab does not depend on the key position. Derive expressions for
a) Resistance Rx
b) Electric current I for open and closed key

3. Two mirrors are placed together as shown in the figure. What is profile of the line an object and its two images lie on? If an object is a source of monochromatic light of wavelength λ, define an expression describing the condition of the first maximum due to two images interference.


I would appreciate it if anyone knows, that they can help me out.

Thank you.
 
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ranger12 said:
I am having difficulty with three questions, can anyone help me. I would appreciate it.

Here are the questions,

1. If distance between two charges +q and -2q is 6a, what is profile of the line formed by the points of zero potential?

2. A metal bar of length I and resistance R slides with no friction but with ideal electrical contact along supporting rails of negligible resistance perpendicular to the uniform magnetic field B. During time t bars covers a distance d. Resistors R0 and Rx are connected to the rails as shown in the figure. Resistor Rx is such that the power released across segment ab does not depend on the key position. Derive expressions for
a) Resistance Rx
b) Electric current I for open and closed key

3. Two mirrors are placed together as shown in the figure. What is profile of the line an object and its two images lie on? If an object is a source of monochromatic light of wavelength λ, define an expression describing the condition of the first maximum due to two images interference.


I would appreciate it if anyone knows, that they can help me out.

Thank you.
You will have to show what you have done so far. eg. in ques. 1, give one point where potential is 0 (what does 0 potential mean?).

AM
 

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