Fusion probability is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion must be overcome. This can be done using the kinetic energy of high-temperature gas ions or by accelerating the nuclei toward one another. (a) Calculate the potential energy of two singly charged nuclei separated by1.00×10–12 m by finding the voltage of one at that distance and multiplying by the charge of the other. (b) At what temperature will atoms of a gas have an average kineticenergy equal to this needed electrical potential energy?

Q: A gold nucleus has a radius of 7.3×10-15 m and a charge of +79e. Through what voltage must an…

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Q: How much voltage must be used to accelerate a proton (radius 1.2×10−15m1.2×10−15m) so that it has…

A: potential energy due to two point charges U = kq1 q2 /r2

Q: Two protons, initially separated by a very large distance (ri is infinity), move directly toward…

A: charge on each proton (q) = 1.6×10-19 C distance of closest approach (d) = 8×10-14 m

Q: Consider the zero potential points resulting from a point charge Q1=1nC placed at the point…

A: given: Q1 =1 nC =1*10-9 CQ2 = -0.5 nC = -0.5*10-9 Cr1 =(0,36,0)r2 = (0,9,0)

Q: A charge of + 50 nC is distributed uniformly along the circumference of a circle with a radius of 15…

A: Given: Q = 50 nC = 50 x 10-9 C q = 50 mC = 50 x 10-3 C Radius of the circle (r) = 15 cm = 0.15 m

Q: Consider a parallel plate capacitor with a plate area of 74.3 cm^2​​​, a plate separation of 0.239…

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Q: For two like charges, as distance between them approaches zero, potential energy also approaches…

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Q: Compute for the potential difference, in volts, in moving a charge radially away from the center…

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Q: 1.1 x 10° V/m = 0 %3D 0.6 m A B || |||| ++- +++++++-

A: Using work energy theorem which says change in kinetic energy is work done.  And  W = F. dr

Q: Consider two concentric conducting spherical shells of negligible thickness separated by vacuum. One…

A: Given:-  One of the shells has a radius of 1 m,  the other has a radius of 6 m. The total charge of…

Q: In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha…

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Q: Is the electric potential energy of two isolated unlike chargespositive or negative? What about two…

A: The expression for the potential energy of two unlike charges is, P·E=-kQ1Q2r............(1) Here, k…

Q: The electric catfish(Malapterurus electricus) is an aggressive fish, 1.0 m in length, foundtoday in…

A: (a) Explanation: Write the expression for the voltage produced. V=Qdkε0A The distance between the…

Q: Find the ratio of speeds of an electron and a negative hydrogen ion (one having an extra electron)…

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Q: Consider three equal 7.032uC charges sitting on the corners of an equilateral triangle with a side…

A: Given Charge q = 7.032uC = 7.032×10-6 C Side a = 4.90cm = 4.9×10-2 m Three charges which are equal…

Q: If the charge A is positive, B and C are negative and all have equal magnitudes of 4 nC. If they are…

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Q: The probability of nuclear fusion is greatly enhanced when the appropriate nuclei are brought close…

A: charge on each ion = +1 e distance between two ions (d) = 0.75×10-15 m

Q: Two concentric conducting spheres of radii R and 3R are maintained at potential 2V, and V,…

A: The equation for the electric potential due to point charge is, V=kQR Here, V is the electric…

Q: Consider the dipole in Eigure 7.20 with the charge magnitude of q = 3.0 nC and separation distance d…

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Q: Consider two concentric conducting spherical shells of negligible thickness separated by vacuum. One…

A: Given: Radius of inner shell, r1 = 1 m Charge on inner shell, q1 = 2×10-6 C Radius of outer shell,…

Q: Given an electric field intensity E = 22a,+5yza,+2xa, V/m, find the amount of work done in moving a…

A: The coordinates of points A and B and electric field intensity are given as :  The displacement…

Q: A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with a…

A: we have V(3.5)=∫∞5Eoutdr+∫43.5Eindr the region between r = 4 and r=5 is the metal where field is…

Q: Four equal point charges, q=2 μC, are to be placed at the corners of a square 1/3 m on a side, one…

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Q: Consider that the earth and the atmosphere forms a parallel plates of charges. Where the electric…

A: Given data:    Electric field, E = 790 N/C     Charge, Q = -1.75 C     Distance, d = 10 m…

Q: How much energy is stored by the electric field between two square plates, 7.1 cm on a side,…

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Q: If the distance between two point charges of -4 nC and +12 nC is 40 cm, calculate the electrical…

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Q: Consider two concentric conducting spherical shells of negligible thickness separated by vacuum. One…

A: Consider a point P at a distance 'x' from the center of the concentric shells. The electric…

Q: For two like charges, as distance between them approaches zero, potential energy also approaches…

A: Given For two like charges, as distance between them approaches zero, the potential energyalso…

Q: Fusion probability is greatly enhanced when appropriate nuclei are brought close together, but…

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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: Two alpha particles (helium nuclei), each consisting of two protons and two neu trons, have an…

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Q: In one of the classic nuclear physics experiments at the beginning of the twentieth century, an…

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Q: Identical +7.67 μC charges are fixed to adjacent corners of a square. What charge (magnitude and…

A: Given: Charge Q = 7.67 µC. Let, size of square = L  And charge at one corner of the square = q C.

Q: What are the sign and magnitude in coulombs of a point charge that produces a potential of -4.50 V…

A: Introduction: Charge produces field around itself, known as electric field. Electric field can be…

Q: Two point charges, q1=60µC and q2=150µC are separated by a distance of 4 m. What is the work…

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Q: How much velocity would be required for a proton (radius 1.2 × 10−15 m) starting at infinity to just…

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Q: In nuclear fission, a nucleus splits roughty in half. What is the potential 4.00*10^-14m from a…

A: No of proton, N=50 Charge,  Q=Ne   =50×1.6×10-19 C=80×10-19 C distance, r=4×10-14 m

Q: A particle (charge = 6.1 μC) is released from rest at a point x = 19.3 cm. If a 78.1-μC charge is…

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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: Find the charge, in coulombs, stored in a capacitor with capacitance 1.8 picofarads and 1 volts…

A: Given that:- Capacitance (C)=1.8pf Voltage applied across capacitor (V)=1V

Q: If you have two conducting plates where the voltage is V=0volt at z=0 and V=75volt at z=d, and…

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Q: A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with a…

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Q: A particle with a charge of 5.5×10−8 C is 3.5 cm from a particle with a charge of −2.3×10−8 C. The…

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Q: What acceleration do a pair of protons experience when they are separated by a 2.00 nm distance?…

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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.