A non-conducting rod (see diagram below) has a uniform charge density magnitude 1 = 3.00 x 10-6 C/m. The left half of the rod is negatively charged, and the right half of the rod is positively charged. The rod is 1.00 m long. P 0.5m m. Taking the electric potential, V, to be 0 at infinity, what is the electric potential at point P at a distance of 0.50 m above the middle of the rod along the rod's perpendicular bisector? Express your answer to the nearest volt.
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- NEED ASAPCharge q1 = -6.5 nC is located at the coordinate system origin, while charge q2 = 0.79 nC is located at (a, 0), where a = 1.2 m. The point P has coordinates (a, b), where b = 0.35 m. A third charge q3 = -2.5 nC will be placed later. a. Find the electric potential VP at point P, in volts. Assume the potential is zero at infinity. b. How much work W, in joules, would you have to do to bring the third charge, q3, from very far away to the point P? c. What is the total potential energy U, in joules, of the final configuration of three charges?A rod of length L is lying on x-axis with left end at the origin and has a non-uniformly linear charge density of . = 5x. 22. find the electric potential V at A(-4, 0) kdz d2 = adx Hint: dv= (-4,0) ++t 4 ++tl え A
- In a certain region an electric potential V is present. An unknown charge Q is moved around this region between points at potential difference AV. A physicist measures the change in the potential energy AU as the charge is moved. The table below shows the data of the measurements. The unit for AV are MV (mega-Volts), the units for AU are kJ (kilo-joules). AV 57.1 29.9 16.7 9.97 8.55 8.32 6.52 6.87 Δυ 362.8 157.6 124.3 55.3 48.8 53.9 37.9 47.3 You want to find the value of the unknown charge Q in mC. Since AU = QAV make the plot y=mx where y=AU and x=AV. Use Excel, calculator or whatever you prefer. From the slope of the plot, calculate Q.A plastic rod has been bent into a circle of radius R = 5.5 cm. It has a charge q1 = +4.2 pC uniformly distributed along three-quarter of its circumference and a charge q2 = -4q1 uniformly distributed along the rest of the circumference (see below). 92 R. Assuming V = 0 at infinity, what is the electric potential at point P, which is on the central axis of the circle at distance D = 6.5 cm from the center? Express your answer in volts, to at least one digit after the decimal point.The three charged particles in the figure below are at the vertices of an isosceles triangle (where d = 5.00 cm). Taking q = 7.60 µC, calculate the electric potential at point A, the midpoint of the base.
- An air filled capacitor of Co- 2.0 µF is fully charged with Qo=11.0 µC using an electromotive force of ɛ, as shown in the figure. The capacitor is then disconnected from the battery and filled with a dielectric material of constant K. If the electric potential across the capacitor falls to 1.9 V, then find K.A positive charge is evenly distributed on the surface of a metal sphere centered at the origin of the coordinate system. The positive charge produces an electric field that points outwardly in the radial direction. A positive test charge is fixed at a distance R₁ from the center of the coordinate system, far from the surface of the sphere. The electric potential at R₁ is 10V. The positive test charge is then allowed to move freely until it reaches a distance R₂=2R₁ from the center of the coordinate system. What is the electric potential (in Volts) of the test charge at its new resting point? 10Three charged particles are positioned in the xy-plane: a 2.0nC charge at (0.0, 2.0) m, a -5.0nC charge at (5.0, 0.0) m, and a 3.0nC charge at (0.0, -3.0) m. Calculate the electric potential relative to a zero at infinity at (-4.0, 0.0) m.
- Three particles with equal positive charges q are at the corners of an equilateral triangle of side a as shown in the figure below. + 9 a a V = 9 a 9 Q (a) At what point, if any, in the plane of the particles is the electric potential zero? at the center of the triangle midway between any two charges The electric potential is not zero at any point. (b) What is the electric potential at the position of one of the particles due to the other two particles in the triangle? (Use any variable or symbol stated above along with the following as necessary: k.)An electric line with a charge of 6 micro C goes from point y to point Z with anelectric potential of 110 V. EPE changes by 0.0224 J during the procedure. What is pointz's electric potential?Consider two separate systems with four charges of the same magnitude q = 16 µC arranged in the vertexes of a square of length h = 35 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y h h А. C. h В D b- The potential at point A, VA = 2320457.1x Units v The potential at point B, Vg = 2378380.8 Units V The potential at point C, Vc = 0 Units V The potential at point D, V, = -908380.8: Units v How much work is required to move a -12 µC charge from point A to point B? The work required, WAs =|-0.7349 X Units J How much work is required to move a -12 µC charge from point C to point D? The work required, Wc-o = 10.90 Units J