The circuit below shows some of the circuitry in a small toy robot. When the circuit is on the robot moves its arms, the motor,
and blink the light on its head, the lightbulb.
A. How much current Is in the circuit when these things are happening? Hint defined the total resistance of the circuit add the two resistances together.
B. What is the voltage between point P and the battery?
A. How much current Is in the circuit when these things are happening? Hint defined the total resistance of the circuit add the two resistances together.
B. What is the voltage between point P and the battery?
1 answer:
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Answer:
(A) considering the charge "q" evenly distributed, applying the technique of charge integration for finite charges, you obtain the expression for the potential along any point in the Z-axis:
With been the vacuum permittivity
(B) The expression for the magnitude of the E(z) electric field along the Z-axis is:
Explanation:
(A) Considering a uniform linear density on the ring, then:
(1)⇒
(2)⇒
(3)
Applying the technique of charge integration for finite charges:
(4)
Been r' the distance between the charge and the observation point and a, b limits of integration of the charge. In this case a=2π and b=0.
Using cylindrical coordinates, the distance between a point of the Z-axis and a point of a ring with R radius is:
(5)
Using the expressions (1),(4) and (5) you obtain:
Integrating results:
(S_a)
(B) For the expression of the magnitude of the field E(z), is important to remember:
(6)
But in this case you only work in the z variable, soo the expression (6) can be rewritten as:
(7)
Using expression (7) and (S_a), you get the expression of the magnitude of the field E(z):
(S_b)
Answer:
m
Explanation:
= slit width = 0.1 mm = 0.1 x 10⁻³ m
= wavelength of monochromatic light = 500 nm = 500 x 10⁻⁹ m
= Distance of the screen = 10 m
= Spacing between successive minima
Spacing between successive minima is given as
Inserting the values given
m