Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the total flux through the sphere are determined. Now the radius of the sphere is halved. What happens to the flux through the sphere and the magnitude of the electric field at the surface of the sphere? (a) The flux and field both increase. (b) The flux and field both decrease. (c) The flux increases, and the field decreases. (d) The flux decreases, and the field increases. (e) The flux remains the same, and the field increases. (f) The flux decreases, and the field remains the same.

Q: (a) a point 1.0 cm from the center of the ball (an inside point) and (b) a point 10 cm from the…

A: Given that,electric field charge q=3μCradius r=5 cm

Q: (8) The electric field near a uniformly charged plate of area 0.3m² has a magnitude of 10 N/C. Find…

A:

Q: a certain region of space, the electric field E is uniform. (a) Use Gauss's law to ove that this…

A:

Q: Why is there no electric field at the center of a charged spherical conductor?

A:

Q: Electric charge is uniformly distributed inside a nonconducting sphere of radius . The electric…

A:

Q: Consider the charge configuration and a spherical Gaussian surface as shown in the figure. When…

A: In order to answer this question, we must take into account the charge arrangement and the spherical…

Q: A tiny ball (mass = 0.012 kg) carries a charge of – 18 µC. (a.) Determine that amount of force…

A: As we are well aware that if the body of mass m is present on earth then it experiences a force of…

Q: In the figure above, the negative charge has a magnitude of 38.0 nC (and lies inside the doughnut…

A: The charge enclosed in the surface is

Q: A plastic rod lies on the x axis such that one of its end is at x=-4cm and the other at x=4cm. It…

A: Consider a elemental charge at a distance x from the midpoint.

Q: Earth has a net charge that produces an electric field of approximately 137 N/C downward at its…

A: We need to calculate the net excess charge on the earth.

Q: four charges possess electric field of 54 N/C, -41 N/C, 13 N/C, and -76 N/C, respectively, will the…

A:

Q: It is (true/false) that the direction of the electric field from a positive point charge is towards…

A: Positive point charge behaves as the source of electric field.  The direction  of electric field is…

Q: A charge Q is placed in the center of a shell of radius R. The electric flux through the shell…

A: Given Q charge is placed at the center of a shell and flux produced is Φo   . If radius is doubled…

Q: When a charge is placed on a metal sphere, it ends up in equilibrium at the outer surface. Use this…

A:

Q: alculate the number of coulombs of positive charge in 308 cm3 of (neutral) water. (Hint: A hydrogen…

A:

Q: A net charge is placed onto a spherical conductor. Which of the following best describes the…

A: The objective of the question is to understand the distribution of charge and the resulting electric…

Q: 6) The conducting spherical shell with the inner radius a and outer radius b as shown in the figure…

A: A conducting shell is given which is having the inner radius as a and outer radius as b. Given…

Q: Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The…

A: Given: In this question, the given details are, The electric charge is uniformly distributed inside…

Q: In a certain region of space, the electric field E S is uniform. (a) Use Gauss’s law to prove that…

A: Let us assume the Gaussian surface to be a sphere .Then, at each point inside the sphere the…

Q: a small copper ball of mass 5g is given a charge of +3 EXP-8 C. what is its acceleration when placed…

A: GivenMass of copper ball ,m=5 gCharge ,q=+3×10-8 CMagnitude of electric field ,E=1×104 N/C

Q: Which of the following statements are correct: (1) Electric field has same unit as force. (2) Two…

A: Write the units of the electric field and the force. Here, the units of the electric field and the…

Q: A positive charge is placed at the origin. Three concentric spheres of different radii are centered…

A:

Q: A 12 µC charge is placed at the center of a hollow conducting sphere that contains 6.0 µC of charge.

A:

Q: Below is a positively charged conducting sphere of radius R, bèlow the sphere is shown the variation…

A:

Q: Consider a thin, spherical shell of radius 16.0 cm with a total charge of 33.6 µC distributed…

A:

Q: The electric field everywhere on the surface of a thin, spherical shell of radius 0.760 m is of…

A: Given: Radius of the spherical shell is 0.76 m. Electric field intensity on the surface of the shell…

Q: "Two point charges, +3 µC is located at the origin and +4 C is located at coordinates (0, 25) cm. a)…

A:

Q: Calculate the value and sign of a point charge q that is capable of generating an electric field…

A: We know that,  Electric field due to a point charge q is, E = kq/r2 For calculating point charge q,…

Q: Consider an electric field perpendicular to a table top. When a small charged object of mass 3.76 g…

A: The mass of the object is given as m = 3.76 g.The charge on the object is given as .Now, the…

Q: 4) Five point charges are placed in the same plane. Four Gaussian surfaces each enclose part of this…

A: Solution: Gauss law states that the total electric flux enclosed within the surface is equal to 1ε0…

Q: We place a point charge q at the center of a sphere of radius R. This results in an electric field E…

A: From The Gauss law, the total electric flux through a Gaussian surface is given by

Q: Suppose a circular ring of radius 5 m and total charge 10 C lays in the x-y plane with its center at…

A: Linear charge density of the circular ring (λ)=λ0cos2θ Radius of the circular ring (R)=5 m Total…

Q: 10. Four charges are arranged in the corners of squares with sides a as shown. If a = 2m, what is…

A:

Q: Calculate the electric field at one corner of a square whose side is 8 m if 2.86 µC charges occupy…

A: Write the given values to the suitable variables.Here, L is the length of the square and q is the…

Q: cube with edges of 1.4 m presents the orientation indicated in the figure within a region of a…

A:

Q: solid conducting sphere of radius 2.00 cm has a charge of 8.92 µC. A conducting spherical shell of…

A:

Q: 8. A pear-shaped earring, shown as a dot (3.0 m, 6.0 m). below, with a charge of 30 µC lies at the…

A: Given:  Pear-shaped earring charge magnitude, q=30 μC=30×10-6 C Location of pear-shaped earring,…

Q: A point charge of 6 µC is located at x = -3.0 cm, and a second point charge of -10 µC is located at…

A: The electric field at a point due to a point charge can be calculated using Coulomb's law: E=kqr2…

Q: An insulating sphere with an 3 cm radius has a uniform charge of 12 µC. What is the magnitude ofthe…

A: Step 1:Radius is 3cm is 0.03mCharge is 12μCDistance is 2cm is 0.02mStep 2:The formula for magnitude…

Q: A solid insulating sphere of radius a carries a net positive charge Q. A conducting spherical shell…

A: Charge on insulating sphere= Q Charge on shell is -6Q

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.