Dry air will break down and spark if the electric field exceeds about 3.0×106 N/C. a) If the top of the Van de Graaff machine is represented as a sphere 15 cm radius, how much charge could it hold before it sparks and spontaneously discharges? b) What is the maximum potential on the above sphere?

Q: A nonconducting sphere has radius R = 2.11 cm and uniformly distributed charge q = +4.55 fC. Take…

A: The potential at any point inside the sphere is given as, V=Q8πεoR3-r2R2 Here, Q is the charge on…

Q: Two spherical shells have a common center. The inner shell has radius R1 = 5.00 cm and charge q1 =…

A: Given data: Inner radius, R1=5 cm=0.05 m Outer shell radius, R2=15 cm=0.15 m Charge: q1=3×10-6C;…

Q: 2. A particle charge 4 x 109 C is located at a point (0,0) in a certain coordinate system Assuming…

A:

Q: Consider a line of charge that extends from x = 0 to x = 2.1 m.  The line has a variable linear…

A: Linear charge density of the line (λ)=14.9x3 nC/m Coulomb's constant (k)=9×109 N m2 C-2

Q: A spherical shell on the top of a small electrostatic generator in air has a charge of 20 μC. What…

A: To determine: The electric potential at the center of the sphere   Given: Charge,

Q: Consider two charges, QA and QB placed along a horizontal line and separated by distance a, as shown…

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Q: Two parallel plates are held at a potential of + 40 V and + 22 V. If the plates have area of 44 cm2…

A: Given that Potential of first plate V1 = 40 V Potential of second plate V2 = 22 V Area of the plate…

Q: A small point charge q is in the vicinity of a much larger point charge Q. If he potential energy of…

A: given two charges one is q, and other is Q Potential energy = ∅

Q: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A…

A:

Q: A Van de Graaff generator has a 1500-millimeter diameter sphere containing a charge of 7.50 X 10 -3…

A:

Q: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A…

A: Electric potential due to any charge(Q) in the surface of conductor at some distance (r)  V= KQ/r If…

Q: A glass ring of radius 5.0 cm is painted with a charged paint such that the charge density around…

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Q: A charge of q = +10-8 C is uniformly distributed on a spherical shell of radius 14 cm. (a) What is…

A:

Q: A square ABCD has sides 0. 20 m long, and has charges +10 nC at A and -10 nC at c. Calculate (a) the…

A: We know that Electric field at a distance r from a charge q is given as shown below. Now, Electric…

Q: A circular ring of charge is cut so that 3/4 of the ring remains and is arranged in the yz-plane as…

A: Potential of a small element is, dV=14πε0dqR2+x0b2=14πε0λRdθR2+x0b2 Linear charge density is,…

Q: The electric potential at a point is space is given by V = 23x - 27y + 11y2 + 72. What is the…

A: Given data: Electric potential at point V =23x-27y+11y2+72 r =(3.0,2.0,1.0)

Q: Two hollow metal spheres are mounted on insulating stands. Sphere I has a radius rl. and sphere 2…

A: Given: Radius of sphere 1, = r1  Radius of sphere 2, r2 = 2r1 Electric potential on sphere 1 = 180 V…

Q: An electron starts from rest 3.00 cm from the center of a uniformly charged insulating sphere of…

A:

Q: 2. A thin plastic washer (non-conducting) has an inner radius of 2.00 cm and an outer radius of 3.00…

A: Given:-  The inner radius r1= 2 cm and the outer radius is r2 = 3.0 cm  The distance of P point from…

Q: A point charge of 13 µC is located at the origin, which is the center of a thin spherical shell of…

A: Given , point charge  of Q1=13μC is at origin of uniformly charged spherical shell of radius R=10…

Q: How much excess charge must be placed on a copper sphere 4.4 cm in diameter so that the potential of…

A: Given data: The radius of the sphere is ra=4.4 cm=0.044 m The potential is V=0.27 kV=270 V

Q: For a spherical surface with radius 0.13 m and is charged by 49 nC, the electric Potential V at r =…

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Q: An object with charge q = -11.00 nC is placed in a region of uniform electric field and is released…

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Q: An insulating ball with a sphere radius a with a charge Q which is uniformly distributed in a…

A:

Q: A point charge of 1 μC is located at the origin, which is the center of a thin spherical shell of 10…

A:

Q: Dragon Balls. Given the set of point charges each with charge +Q as shown, what is the electric…

A: The set of point charges each with charge +Q as shown, we have to find the electric potential at…

Q: A thin plastic rod of length d = 0.75 m lies along the x-axis with its midpoint at the origin. The…

A: The length of the rod, L=d=0.75 m The linear charge density of the rod, λ=4.5 nC/m = 4.5×10-9 C/m…

Q: Two parallel plates are held at a potential of + 200 V and + 155 V. If the plates have area of 44…

A: Given : V1 = +200 V  V2 = +155 V A = 44 cm2 = 44 x 10-4 m2 dr = 7.3 mm = 7.3 x 10-3 m

Q: Over a certain region of space, the electric potential is V = 5x - 3x²y + 2yz?, the y component of…

A: Given data: Electric potential. V=5x-3x2y+2yz2

Q: A dust particle with mass 0.10 g and a charge of 1.0 µC is in a region of space where the potential…

A: given: mass m = 0.10g = 0.1*10-3Kg charge q = 1.0μC=1.0*10-6C potential V(x)=4.0V/m2x2-(6.0V/m3)x3…

Q: A plastic rod has been bent into a circle of radius R= 6.00 cm. It has a charge Q=+100.0 pC…

A:

Q: For a spherical surface with radius 0.15 m and is charged by 29 nC, the electric Potential V at r =…

A:

Q: A plastic rod has been bent into a circle of radius R = 10.0 cm. It has a charge Q=+200.0 pC…

A: A plastic rod has been bent into a circle of radius R 10.0 cm. It has a charge Q +200.0 PC uniformly…

Q: A 0.500 cm diameter plastic sphere, used in a static electricity demonstration, has a uniformly…

A: SOlution: Given that d = 0.5 cm Q = 39 pC

Q: A 15 nC charged particle moves from point A, where the electric potential is 300 V, to point B,…

A: Potential energy of a charge is given as: U=q∇V where U is the potential energy q is the charge ∇V…

Q: A conducting sphere of radius R = 100 cm and has a charge Q = 5 nC uniformly distributed on its…

A: Scenario - A conducting sphere of certain radius has potential inside it due to charge distribution…

Q: An equipotential surface that surrounds a + 3.0 μC point charge has a radius of 2.0 cm. What is the…

A: An equipotential surface that surrounds a + 3.0 μC point charge has aradius of 2.0 cm. What is the…

Q: Four point charges are equally separated by 1.00m in air, with q1=3nC, q2=-4nC, q3=2nC, q4=-5nC.…

A: Given :  q1=3nC, q2=-4nC, q3=2nC, q4=-5nC. Distance between charges = 1 m

Q: An electron starts from rest 5.00 cm from the center of a uniformly charged insulating sphere of…

A: Potential energy difference of the electron between r=5 and r=4 will be equal to the Kinetic Energy…

Q: A particle charge 4 x 10-9 C is located at a point (0,0) in a certain coordinate system. Assuming…

A:

Q: A 0.53-cm-diameter plastic sphere, used in a static electricity demonstration, has a uniformly…

A:

Q: An equipontential surface that surrounds a + 3.0 μC point charge has a radius of 2.0 cm. What is the…

A: Charge: q = + 3.0 μC = +3.0 x 10-6 C Radius of equipotential surface: r = 2.0 cm = 0.02 m

Q: The electric potential in some region is given by = x²y* + 3z4, The x-component of the electric…

A: Given :    Electric potential, V = x2y + 3z4

Q: The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 4.00 nC…

A:

Q: What is the electric potential 5.00 cm away from the center of a 1-cm diameter metal sphere that has…

A: The electric potential can be given by V=kQr

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.