A semicircle of radius a is in the first and second quadrants, with thecenter of curvature at the origin. Positive charge +Q is distributeduniformly around the left half of the semicircle, and negative charge-Q is distributed uniformly around the right half of the semicircle inthe following figure.(Figure 1)Part AWhat is the magnitude of the net electric field at the origin produced by this distribution of charge?Express your answer in terms of the variables Q, a, and constant k.Πνα ΑΣφE = +Qa

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Answered: A semicircle of radius a is in the…

University Physics Volume 2

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Chapter6: Gauss's Law

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Problem 58P: Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed...

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Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?
A total charge Q is distributed uniformly throughout a spherical volume that is centered at o1 and has a radius R. Without disturbing the charge remaining charge is removed from the spherical volume that is centered at o2 (see below). Show that the electric field everywhere in the empty region is given by E=Qr40R3 where r is the displacement vector directed from o1 to o2 .
Consider a thin plastic rod bent into an arc of radius Rand angle a (see figure below). The rod carries a uniformly distributed negative charge Q -Q A IR What are the components and E, of the electric field at the origin? Follow the standard four steps. (a) Use a diagram to explain how you will cut up the charged rod, and draw the AE contributed by a representative piece. (b) Express algebraically the contribution each piece makes to the and y components of the electric field. Be sure to show your integration variable and its origin on your drawing. (Use the following as necessary: Q, R, cx, 0, A0, and EQ-) ΔΕ, = - TE aR² AB=(2 Lower limit= 0 ✓ e aR² Upper limit= a X cos(0)40 x (c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of your integration variable. sin (0)40 x Evaluate the integral. (Use the following as necessary: Q, R, a, and E.) Edit
= Adx. Then find the net field by integrating dE over the length of the rod. Use the following as The charge per unit length on the thin rod shown below is 2. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge . necessary: L, a, 2, and ɛn. Enter the magnitude. Assume that A is positive.) L A 1 E = 4ne L+A a
You have the same line of charge in the previous problem (with +6.00 nC of charge on it). But now you are measuring the electric field 1.5 m above the center of the rod – see image below. Predict the electric field at Point P in this diagram. Make sure to include a direction with your answer.
Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl = (Answer in terms of given quantities, a, R, and physical constants ke and/or Eg. Use underscore ("_") for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere #3 Question Help: Message instructor E(r < R) = Submit Question E с $ 4 R G Search or type URL % 5 T ^ MacBook Pro 6 Y & 7 U * 8 9 0 0
Following the previous question, the x-component of the net electric field at x = -1.00 m, Enet.x , is N/C. Use normal format and 3 significant figures.
The charge per unit length on the thin rod shown below is 1. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq = 1 dx. Then find the net field by integrating dE over the length of the rod. Use the following as necessary: L, a, 1, and ɛn: Enter the magnitude. Assume that 1 is positive.) E =
Express answer/s in mks (SI) . Draw diagram whenever necessary Three charges are placed on three corners of a square, as shown in the figure. Each side of the square is24.0 cm. Compute the magnitude and direction of the electric field at the fourth corner.
Problem 34 s). The ring below is uniformly charged with a positive charge. What is the direction of the electric field vector at point A? Select one. O Right O Down O Left O Up
vt . A line of positive charge is formed into a semicircle of radius R as shown in the fig- ure to the right. The charge per unit length along the semicircle is given by A, and is constant. The total charge on the semicir- cle is Q. R (a) Determine the constant, A, in terms of the Coulomb constant k, total charge Q, and radius R. (b) What is the electric ficld, E (magnitude and direction), at the origin (the center of curvature)? Note: Recall that the arclength subtended by an angle 0 in radians along a circle of radius R is s = R0. Furthermore, you might find the following integral useful: "T/2 cos 0 do = 2. T/2
A positive charge distribution with linear charge density of 5.2 nC/m is distributed on a semi-circle of radius R= 0.7m in the first and second quadrants, Centered on the origin, Calculate the y-component of the electric field at the origin due to this distribution sunting ed non 2kmamogring rate bank!!

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