Consider the two small, equal-mass, charged spheres shown in the figure. The top sphere is suspended from the ceiling by a thread, and has a charge of q1 = 28.6 nC. The bottom sphere has a charge of q2 = −58.0 nC, and is directly below the top sphere. Assume d = 2.00 cm and m = 6.90 g. A rope hangs vertically down from a ceiling with a positive charge q1 at its end. Negative charge q2 is a distance ddirectly below q1. (a) Calculate the tension (in N) in the thread. N (b) If the thread can withstand a maximum tension of 0.180 N, what is the smallest value d can have before the thread breaks? (Give your answer in cm.) cm

Q: A positively charged particle with Q= 5 ?C is placed between two negatively charged particles with…

A: We are taking magnitude of the charges to be q=5 μC, q1=1 μC and q2=9 μC. Take the right direction…

Q: A bead with a mass of 0.050 g and a charge of 15 nC is free to slide on a vertical rod. At the base…

A: The expression for the repulsive force between the charged particles is F=kq1q2r2 according to…

Q: A very small sphere with positive charge q=+ 5.00 μC is released from rest at a point 1.70 cm from a…

A: Using the conservation of the law of the energy, Ka+Ua=Kb+Ub0++Ua=Kb+UbKb=Ua-Ub

Q: Three charges are located on the corners of a right-angle triangle as in the figure. If a = 3.0 mm,…

A: This question can easily be solved by applying the concept of electric field and law of…

Q: Three point charges are located in the xy-plane as in the figure. Given that Q = 46.6 µC, what is…

A: q1 = 3Q q2 = Q q3 = 4Q Q = 46.6 μC

Q: Two small beads having positive charges q1=3q and q2=q are fixed at the opposite ends of a…

A:

Q: Three point charges are fixed in place in a right triangle, as shown in the figure.       where y…

A:

Q: 22

A: Given that d = 1.8 m x = 0.6 m q2 = q The net force on q3 is = 0 ( in equilibrium )

Q: A small sphere of mass m = 6.40 g and charge q1 = 28.7 nC is attached to the end of a string and…

A:

Q: Three point charges are located in the xy-plane as in the figure. Given that Q = 67.6 µC, what is…

A: SOlution: given that Q = 67.6 micro C x = 8 y = 6

Q: Why is the following situation impossible? You set up an apparatus in your laboratory as follows.…

A: The electric potential at the x center of charged ring can be given by When the point charge is…

Q: A small sphere of charge q1 = 0.816 µC hangs from the end of a spring as in figure a. When another…

A:

Q: Using the symmetry of the arrangement, determine the direction of the force on negative charge q in…

A:

Q: A small sphere of mass m = 6.60 g and charge q, = 31.1 nC is attached to the end of a string and…

A: Solution : Given Values, mass of the sphere (m)=6.60 g =-0.0066 KgFirst charge (q1) =31.1 nC =…

Q: A positive charge q1 = 2.70 μC on a frictionless horizontal surface is attached to a spring of force…

A: Given,

Q: In the figure shown, q=12 uC, L=61 cm, and W=16 cm. W +) +-x b. L The magnitude of the total…

A:

Q: A small sphere of mass m = 6.70 g and charge q, = 27.0 nC is attached to the end of a string and…

A: The free-body diagram for charged sphere hang to a string is given below,

Q: Two-point charges are located in the x-y plane as follows: A charge 2.0 × 10−9 C is at the point (?…

A:

Q: Two small spheres that have positive charges q1 = 3q and q2 = q are attached to opposite ends of a…

A: Given data: The charge of the sphere at the origin is q1=3q. The charge of the second sphere on the…

Q: The figure below shows three small, positively charged beads at three corners of a rectangle. The…

A:

Q: As shown in the given figure, a small sphere of mass 0.25 g that carries a charge of 9.0 × 10^−10 C.…

A: The formula for the electric field due to long infinite sheets are: Using the above formula, the…

Q: A small sphere of charge q1 = 0.800 μC hangs from the end of a spring as in 22.32a. When another…

A:

Q: A small sphere of mass m = 7.50 g and charge q1 = 32.0  nC is attached to the end of a string and…

A:

Q: As shown in the given figure, a small sphere of mass 0.25 g that carries a charge of 9.0 × 10^−10 C.…

A:

Q: Identical thin rods of length 2a carry equal charges, +Q, uniformly distributed along their lengths.…

A: Given :

Q: Two point charges q1 = 6.17 nC and q2 = 3.05 nC with masses of mi = 6.79 µg and m2 = 4.89 µg,…

A:

Q: Two point charges q1 = 6.80 nC and q2 m1 = 7.11 µg and m2 = 4.01 µg, respectively, are both…

A: Given  Charge  Q1 = 6.80 nC  Q2 = 3.11 nC  Masses  M1 = 7.11 ug  M2 = 4.01 ug  Initial distance, D1…

Q: A total positive charge of 12.00 mC is evenly distributed on a straight thin rod of length 6.00 cm.…

A: Total charge on rod is Q = 12×10-³ C  Length of rod is L = 6 × 10-² m  Point charge is q = 4×10-⁹ C…

Q: Two small spheres, each with mass m = 12.0 g and charge q, are suspended from a point by threads of…

A:

Q: Two small beads having positive charges are fixed at the opposite ends of a horizontal insulating…

A:

Q: A small sphere of mass m = 7.50 g and charge q1 = 32.0 nC is attached to the end of a string and…

A:

Q: The figure below shows three small, positively charged beads at three corners of a rectangle. The…

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Q: Two small metallic spheres, each of mass m = 0.15 g, are suspended as pendulums by light strings…

A:

Q: Three charges are arranged as shown in the figure. 2.2 nC -0.7 nC 3.1 m -1.5 m O 0.49 nC Find the…

A: Force on the charge at the origin

Q: The figure below shows three small, positively charged spheres at three corners of a rectangle. The…

A: Given q1, q2 and q3 at the corner of the rectangular and we have to find out potential at where no…

Q: Two small beads having positive charges q1 = 3q and q2 = q are fixed at the opposite ends of a…

A: For part (a): For equilibrium, net electric force on bead must be zero. For part (b):  we displace…

Q: A positive charge q1 = 2.70 μC on a frictionless horizontal surface is attached to a spring of force…

A:

Q: In the figure below, a charged particle of mass m = 20 g and charge q = 0.250 mC is suspended in…

A: Consider the free-body diagram of the charged particle.

Q: Three charges are located on the corners of a right-angle triangle as in the figure. If a = 3.0 mm,…

A: Given that, Three charges are located on the corners of a right-angle triangle as in the figure. If…

Q: What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection

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Q: Two identical metal blocks resting on a frictionless horizontal surface are connected by a light…

A:

Q: Three point charges are located in the xy-plane as in the figure. Given that Q = %3D 62.9 µc, what…

A:

Q: Three charges are located on the corners of a right-angle triangle as in the figure. If a = 3.0 mm,…

A: Three charges are located on the comers of a right-angle triangle as in the figure. If a = 3.0 mm, b…

Q: A small sphere of charge q1 = 0.800 μC hangs from the end of a spring as in FigureP22.32a. When…

A:

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.