A uniform hollow sphere has internal radius a and external radius b. Taking the potential at infinity to be zero, show that the ratio of the gravitational potential at a point on the outer surface to that on the inner surface is 2(b' – a'). 36(b? – a²)'
Q: A charge Q equal to +25µC is placed at the point (x,y)=(-1.0m, 2.0m) as shown. A charge Q, equal to…
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Q: Given three points: (q1= 3.0mC, q2= -4.5mC, and q3= 5.5mC). Q1 and q2 are located .06m apart, q1 and…
A: Given data: Charges at 1,2 and 3 are, Q1=3.0 mCQ2=-4.5 mCQ3=5.5 mC
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A: (a)LetCharge q1 = 8 x 10^-6 CCharge, q2 = 2 x 10^-6 CCharge q3, = 4 x 10^-6 CDistance of q1, r1 = x…
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Q: Consider the system of 3 fixed charges of absolute magnitude |q| = (4.2x10^2) nC, placed as…
A: Given: Charge,q=4.2×102nC =4.2×10-7CDistance from A to B,dAB=9.300×10-2mDistance from B to…
Q: Álong the x-axis, the potential is given by: V(x) = 2.16 - 0.251x - 0.137x where x is in meters, and…
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- Two protons are located at (4.60, 0) m and (0, 3.80) m, respectively. Determine the following. (a) the electric potential at the origin v (b) the electric potential energy of a third proton located at the origin JQ3) Find the potential u(r, 9) inside a ring 1Consider the following figure. (a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in the figure. (Let x = 5.70 cm and y = 3.50 cm.) (b) Repeat if the 2.00-µC charge is replaced with a charge of −2.00 µC.Two protons are located at (4.70, 0) m and (0, 2.90) m, respectively. Determine the following. (a) the electric potential at the origin V (b) the electric potential energy of a third proton located at the origin JThe figure below shows a small, charged sphere, with a charge of q = +38.0 nC, that moves a distance of d = 0.171 m from point Ato point B in the presence of a uniform electric field E of magnitude 280 N/C, pointing right. (a) What is the magnitude (in N) and direction of the electric force on the sphere? magnitude n? (b) What is the work (in J) done on the sphere by the electric force as it moves from A to B? J?? (C) What is the change of the electric potential energy (in J) as the sphere moves from A to B? (The system consists of the sphere and all its surroundings.) PEB − PEA = ? J (D)What is the potential difference (in V) between A and B? VB − VA = ? VA 8 kg particle is in a potential given by U(x) = 1 x^4 - 7 x^2 - 3 x + 8 (J). Calculate the acceleration of the particle when it is at x = 1 m, in m/s2. (Please answer to the fourth decimal place - i.e 14.3225)Two protons are located at (2.00, 0) m and (0, 2.30) m, respectively. Determine the following. (a) the electric potential at the origin V (b) the electric potential energy of a third proton located at the origin JA charged dust speck with mass, m = 4.1 g, loses 24 mJ of kinetic energy as it moves aross an electric potential, AV = -121 V. (a) How much work was done on the dust speck? Wnet = -24 mJ (b) What was the change in the dust speck's electric potential energy change, assuming that Wnet = WĘ? AU = |24 mJ (c) Find the charge on the dust speck. 24e-3 -121 Q = = -198.3 HC (d) What was the dust speck's final kinetic energy if it was initially moving at a speed of 4.19 m/s? Kf = (e) So, how fast was it after crossing the potential differene? Vf = m/sStarting with the definition of work, prove that at every point on an equipotential surface, the surface must be perpendicular to the electric field there.(b) - A cube has a constant electric potential Von its surface. Ifthere are no charges inside the cube, the potential at the center of the cube is [B.H.U-2012] (a) zero (b) 8 (c) 2 (d) V€1=15.0 4 |1=1.00 A MM Gelison R₂ = 200 [=100m E2= {3 = ₁ R₁ = 5,000 un 4.00 R = R₂ 1,00d 2.00 A @What is E₂ = 1 What is E3 = Wy what is the potential 0,5pts difference of brebtive to pont a (V₂a) ?