The Earth's electric field creates a potential that increases 100 V for every meter of altitude. If an object of charge +4.5 mC and mass 68 g falls a distance of 1.0 m from rest under the influence of the Earth's electric and gravitational fields, what is its final kinetic energy?

Q: An alpha particle, which has charge 2e, moves between two points with a potential difference of 1000…

A: We know that 1eV is equal to 1.6×10^(-19) Joules. Therefore 2000eV = 2000 × 1.6×10^(-19) J…

Q: How much energy is stored in the electrical field of a metal sphere of radius 2.0 m that is kept at…

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Q: The Cassini Orbiter spacecraft collected immense amounts of data about other planets and moons in…

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Q: A lightning bolt strikes a tree, moving 19.5 C of charge through a potential difference of 1.10 ✕…

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Q: It takes a proton 50 seconds to cross a potential difference of 90000 V. What is the average power…

A: The average power is calculated as, P = (qV)/t Here, q is charge on a proton, V is potential…

Q: A lightning storm approaches an area of 2(10)° m2 where the electric potential from the cloud to the…

A: Given,  area = 2 × 106 m2 Potential difference,  V = 3× 107 V Total charge,  C = 18 C Distance,  d =…

Q: A charge of + 10 nC is distributed uniformly along the circumference of a circle with a radius of 10…

A: Given: Charge uniformly distributed in circumference of circle: Q1=10×10-9 [C] Radius of the circle:…

Q: The potential difference between a storm cloud and the ground is 100 million V. If a charge of 2 C…

A: Given:  Potential difference, V = 100 million V = 100 x 106 V charge, q = 2 C

Q: At a certain point in space there is a potential of 400 V. What is the potential energy of a +2-µC…

A: Given  Potential   V = 400 volt Charge  Q = +2 uC To find  Potential energy of 2 uC charge

Q: In the figure a, calculate the potential difference between a and c by considering a path that…

A: As per our policies, I can answer only first question. The detailed solution of first one is given…

Q: During a lightning discharge, 30C of charge move through a potential difference of 1.0×10^8 V in 2.0…

A: Given data The charge is given as Q = 30 C. The potential difference is given as ∆V=1×108 V. The…

Q: A system of three point charges has a 1.00 µC charge at the origin, a −2.00 µC charge at x=30 cm,…

A: The potential energy of a system of three charges q1,q2,q3 is given by, U=kq1q2r12+kq1q3r13+kq2q3r23…

Q: Two parallel plates with a dielectric (k=3.75) in between are separated by a distance of 2.00 mm.…

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Q: A lightning bolt from a cloud hits a tree after travelling 200m to the ground through an electric…

A: The potential difference between the cloud and the tree just before the lightning bolt strikes can…

Q: An alpha particle (charge +2e) moves in a region of potential 3.00 kV to a region of potential 2.50…

A: (a) The potential difference experienced by the alpha particle can be determined as, Here, Vi and…

Q: Just before a lighting strike, a charge of 16.6 C has built up around a tree. What is the electric…

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Q: Calculate the change in the kinetic energy Δ?,ΔK, potential energy Δ?,ΔU, and total energy Δ?ΔE of…

A: The change in charge’s kinetic energy can be given by work-energy theorem as, Here, K, W, F, Fe, E,…

Q: spark plug in an automobile engine consists of two metal conductors that are separated by a distance…

A: separation d=0,5 mm E=4×107 V/m potential difference= ΔV

Q: A helium nucleus (charge = 2e. mass = 6.63 × 10 _27kg) traveling at 6.20 × 10 1 in/s enters an…

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Q: The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively.…

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Q: A very long wire is surrounded by a very long conducting sleeve with dimensions shown on the figure…

A: Given Data: ⇒Inner wire λw=+5 μC/m=+5×10-6 C/m Diameter, di=2.5 cm Radius, ri=1.25 cm=1.25×10-2 m…

Q: During a lightning discharge, charges amounting to 30C move through a potential difference of 1.0 x…

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Q: It takes 50.0 J of energy to move 10.0 C of charge from point A to point B. What is the potential…

A: Given: The energy is 50 J. The electrical charge is 10 C.

Q: The potential difference between a storm cloud and the ground is 2.47 x 10° V. If a bolt carrying 5…

A: Given data:  Potential difference (ΔV) = 2.47×108 V Charge (q) = 5 C Required: Magnitude of the…

Q: A charge of + 30 nC is distributed uniformly along the circumference of a circle with a radius of 15…

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Q: The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively.…

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Q: An electron moves from point A to point B under the influence of an electrostatic force only. The…

A: Change in potential energy =potential difference*charge of electron so change in potential energy =…

Q: NASA's Deep Space 1 and Dawn spacecraft employed ion thrusters in which xenon ions with a charge of…

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Q: A lightning storm approaches an area where the electric potential from the cloud to the ground is…

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Q: An electron moving parallel to the x-axis has a velocity of 3700 km/s as it passes through the…

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Q: A bare helium nucleus has two positive charges and a mass of 6.64 x 10-27 kg. (a) Calculate its…

A: Given  m = 6.64×10-27kg q= 2×(1.602×10-19) C

Q: A spark plug in an automobile engine consists of two metal conductors that are separated by a…

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Q: If you place a test charge 9.01 x 108 m away from a source charge of 1.11 x 103 C, how much electric…

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Q: What is the charge carried by a 5 m long coaxial cable whose outer radius is 5 times larger than its…

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Q: A bug zapper consists of two metal plates connected to a high-voltage power supply. The voltage…

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Q: An alpha particle, which has charge 2e, moves between two points with a potential difference of 1000…

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Q: Which of these expressions gives the magnitude of the work done in moving a 4.00 nC charge through a…

A: The formula for the work done through a potential difference is:

Q: Suppose an electron (g = - e = -1.6x 10-19 C.m=9.1 x 10-31 kg) is accelerated from rest through a…

A: Charge, q = -1.6×10-19 CMass, m = 9.1×10-31 kgPotential difference, Vab = 5000 V

Q: A charge of + 50 nC is distributed uniformly along the circumference of a circle with a radius of 10…

A: Electric potential at the centre of uniformly charged ring is given by, V = (k*Q) / r…

Q: A proton of mass m=1.67×10^-27 kg and charge q=1.6×10^-19 C is accelerated from rest in vacuum under…

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Q: An air-filled capacitor consists of two parallel plates, each with an area of 7.6 cm2, separated by…

A: Given : A = 7.6 cm2 = 7.6 × 10-4 m2 d = 1.8 mm = 0.0018 m V = 20 V

Q: In a model of the hydrogen atom, the electron travels in circular orbits around the proton. What is…

A: Given data: The radius of the orbit is, r=0.62×10-10 m. The formula to calculate the electric…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.