An undergraduate student is tasked with assembling a distribution of charges. The charges are located on the corners of an equilateral triangle with side length 1.35 m. How much work is it to assemble the charges if the charges have magnitudes of +3.45 microcoulombs, + 7.65 microcoulombs, and - 1.15 microcoulombs? Answer in Joules.   Question 4 options:   A) 2.61E-01   B) 9.07E-02   C) 2.40E-01   D) 6.72E-02   E) 1.01E+01   F) 1.93E-01

Q: A long thin rod with linear charge density A lies on the a axis. Find the work done by the electric…

A: Linear charge density = λy = h y = 2h

Q: A conductive sphere with a radius of 12 cm has a 36 °C charge on it, and calculate the electrical…

A:

Q: Given a charge = 70 µC and 2 = 10 µC Coordinate of the Charge is (70, 20, 58) and Charge q2 is (-70,…

A: The formula to calculate electric potential is  V=kqr where V is the potential, q is the charge and…

Q: A parallel plate capacitor has a capacitance of 7.0 µF when filled with a dielectric. The area of…

A:

Q: Find the capacitance ( in units of pF) of a parallel plate capacitor that is made of two parallel…

A:

Q: A parallel plate capacitor is constructed of two square plates, size L × L, separated by a distance…

A: Given: Size of plate = L×L Charge on plate = +Q and -Q,

Q: A charge of + 30 nC is distributed uniformly along the circumference of a circle with a radius of 20…

A: (E) 13.5 J

Q: Two parallel conducting plates are separated by 2.88 cm with a potential difference of 5.19 V. What…

A:

Q: Consider a charged conducting sphere made up of polyethylene (εr = 2.26) with a radius 87 cm. If a…

A: Radius of charged sphere is r=87 cm Dielectric constant of polyethylene is εr=2.26 Note: 1 m=100 cm…

Q: What is the distance (in mm) between two charges: Q1=20 nC and Q2 =45 nC  within a material of k =…

A:

Q: How much work is required to move a charge q=1.6x10-1°C through a potential difference of 3.00…

A: charge (q) = 1.6×10-19 C potential difference (V) =  volts

Q: A parallel plate capacitor has plates of area 5.4 cm2, separated by a distance 5.1 mm and a…

A:

Q: A condenser is charged to a potential of 1000 volt. If the capacity of the condenser is uF,…

A: To find-Energy stored (W)=?Given data-C=6 μFC=6×10-6 FV=100 V

Q: The electric field along the x-axis is given by È = axî where a = -41 N/m.c. Find the electric…

A: Write a given value of this question. E⇀=axi^x1=1.9mx2=3.1ma=-41N/m.c

Q: Three charges are in a line.  One charge has size 2.6 x 10-4 C and is located at x = -6.2 m.…

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Q: The ratio of the radii of the spheres is 2.935. What is the radius (in m) of the smaller sphere if…

A:

Q: The electric field along the y-axis is given by È= ayî where a = 27 N/m.C. Find the electric…

A: Given that,  electric field along the y-axis is given by E = ay] where a = 27 N/m.C. Then We have to…

Q: The area of the capacitor plates of a capacitor is 2.1x108m2. The capacitor contains a polyvinyl…

A:

Q: Given L 8.01 m and q 6.81 C, what is the potential energy, in millijoules, of the system of charges.

A: Given data, Distance L=8.01 m Charge q=6.81 μC

Q: A 15.0 µF capacitor is charged to a potential difference of 850.0 V. The terminals of the charged…

A: The first capacitor is initially charged to a potential difference of 850 V Let C1=15 μF=15×10-6…

Q: Three charges are located as follows: A charge q₁ 5.6 x 10 °C at the origin. A charge 92 = -2.53 ×…

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Q: The electric field along the y-axis is given by È = ayî where a = -16 N/m.C. Find the electric…

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Q: Find the potential difference between points A and C, (VA-VC = ?) by assuming the electric field is…

A:

Q: The electric field along the z-axis is given by È = azk where a = -42 N/m.C. Find the electric…

A: Electric field is given by the formula : E→ = az k^where a = -42 Nm.C z1 = 1.6 m z2 = 3.6 m

Q: An alpha particle (with a charge of +2 e and a mass of 6.64 x 10-27 kg) is fıred at a fixed gold…

A: Given, Charge on alpha particle=+2e

Q: A spherical conductor of radius 5 cm and charge 200 nC. Find the work needed to move a 4 mC charge…

A: Given Quantities:

Q: If the radius is 6.3 cm and the charge 1S 4.1 µC, how much work was done in charging the sphere? The…

A: The given data   The radius of the sphere R = 6.3 cm = 0.063 m The charge is q = 4.1μC = 4.1×10-6 C…

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

A: Given Potential difference across the membrane  ∆V = 0.078 V Thikcness of the membrane  ∆x =7.8 ×…

Q: A water molecule is built as an isosceles triangle; the two hydrogen atoms are separated by…

A: The total electric potential energy of the system of three charges is given by

Q: %3! Find the electrostatic potential energy (in Nano Joules) involved in assembling the shown…

A: SOlution: given that Q = 3.5 micro C a=b=c=15 cm=0.15 m

Q: What is the magnitude of the electric field at the point (3.90 î - 1.20ĵ+ 9.00 k) m if the electric…

A:

Q: metal cylinder of radius 2.00mm is concentric with another metal cylinder of radius 5.00mm. if the…

A:

Q: A capacitor has a charge of 2.0 µC when connected to a 5.5 V battery. How much energy is stored in…

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Q: An insulating material with a dielectric constant of 2.8 is placed between two parallel metal plates…

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Q: The plates of the capacitor have an area of (3.25 x 10-4) m2. They are separated by a distance d by…

A:

Q: A small positive test charge of 0.02C is situated 1.5m away from a positive charge of 1C and 4.2m…

A:

Q: It takes 112 J of work to move 2.3 C of charge from the negative plate to the positive plate of a…

A: Given data:  Work done (W) = 112 J Charge (q) = 2.3 C Required: Potential difference (ΔV)

Q: A cylindrical (7.0x10^0) μµF capacitor is connected to a power supply and is charged from zero to a…

A:

Q: On a stormy day, a cloud is 530 m above the ground. The total charge of the water in the cloud is…

A: Distance (d) = 530 mElectric field (E) = 7.30×105 V/mRequired:The potential difference (ΔV)

Q: how far was it raised or lowered?

A:

Q: You remove the -6 μC charge 4με -5 μC -6 με 8 µC 3 ст 3 ст 3 cm

A: The potential energy between the two charges is given by  U = k q q'r2 where, r is the distance…

Q: An electron in an x-ray machine is accelerated through a potential difference of  1.0 × 104 V before…

A: We know that∆K.E=-QVHere∆K.E=Change in kinetic energyQ=ChargeV=Potential Difference

Q: 1) Solve the following values in figure 1.0. a) Total Capacitance, Ct. b) Total Charge, Qt. c)…

A:

Q: Consider a charged conducting sphere made up of polyethylene (εr =  2.26) with a radius 43 cm. If a…

A: See below

Q: The potential on the axis of a uniformly charged disk at 4.9 cm from the disk center is 180 V ; the…

A: Since potential due to disc is given at two points on the axis so first we need to determine the…

Q: Find the capacitance ( in units of pF) of a metallic sphere that has a radius of 19.3 cm immersed…

A: we know that capacitance of spherical surface C = 4 πε0kR k= 2.16 R=19.3 X10-2m

Q: A 31 m length of coaxial cable has a solid cylindrical wire inner conductor with a di- ameter of…

A:

Q: A charge of +4.0 C is moved a distance of 50 cm in a uniform electric field of magnitude 30 N/C.…

A: SOlution: 'Given that q = +4 C d = 50 cm E =30 N/C

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.