Charges, Resistance & Electrical Current, Wavelength

[ranger12]

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.

 

[Andrew Mason]

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

 

[kyle8921]

1. The profile of the line formed by the points of zero potential would be a straight line connecting the two charges +q and -2q, with the midpoint being at a distance of 3a from each charge. This is because at this midpoint, the electric field from the +q charge and the electric field from the -2q charge would cancel out, resulting in zero potential.

2. a) The resistance Rx can be calculated using Ohm's Law, which states that resistance is equal to voltage divided by current. In this case, the voltage across Rx is equal to the voltage across R0, which is equal to the voltage across the metal bar. Therefore, Rx = (R0 * I)/I = R0.

b) For the open key, the electric current I would be equal to the voltage across the metal bar divided by the total resistance (R0 + Rx). Therefore, I = V/(R0 + Rx). For the closed key, the electric current I would be equal to the voltage across the metal bar divided by the resistance of the closed circuit, which is equal to R0 + 2Rx. Therefore, I = V/(R0 + 2Rx).

3. The profile of the line on which the object and its two images lie on would be a straight line connecting the two mirrors, with the object being at the midpoint between the two mirrors. This is because the two mirrors act as two parallel surfaces, creating a virtual image of the object that is located at the same distance behind the mirrors as the object is in front of the mirrors.

The condition for the first maximum due to two images interference can be described using the equation d sinθ = mλ, where d is the distance between the two mirrors, θ is the angle of incidence of the light, m is the order of the maximum (in this case, m = 1 for the first maximum), and λ is the wavelength of the light. This equation represents the constructive interference between the two images of the object, resulting in a bright maximum.