A particle is freed from rest in a uniform electric field and then begins traveling under the influence of the electric field.   Part (a)  The particle is a proton. Which is true? Choose the best answer.  Its potential energy increases and it begins traveling towards lower electric potential. Its potential energy increases and it begins traveling towards higher electric potential. Its potential energy decreases and it begins traveling towards lower electric potential. Its potential energy decreases and it begins traveling towards higher electric potential. Part (b)  The particle is an electron. Which is true? Choose the best answer.  Its potential energy decreases and it begins traveling towards lower electric potential. Its potential energy increases and it begins traveling towards higher electric potential. Its potential energy decreases and it begins traveling towards higher electric potential. Its potential energy increases and it begins traveling towards lower electric potential.  Part (c)  The particle is a proton. What is true about the proton’s path? Choose the best answer.  The path is perpendicular to the electric field lines and perpendicular to the equipotential lines. The path is parallel to the electric field lines and parallel to the equipotential lines. The path is parallel to the electric field lines and perpendicular to the equipotential lines. The path is perpendicular to the electric field lines and parallel to the equipotential lines.

Q: Over a certain region of space, the electric potential is V = 8x − 6x2y + 7yz2. (a) Find the…

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Q: Over a certain region of space, the electric potential is V = 7x - 6x²y + 8yz². (a) Find the…

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Q: A small object with a charge of q-10.0 C travels from the origin to the point (x, y)-(20.0 cm, 50.0…

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Q: Over a certain region of space, the electric potential is V = 3x - 2x²y + 4yz². (a) Find the…

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Q: Over a certain region of space, the electric potential is V = 6x − 8x2y + 6yz2. (a) Find the…

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Q: The graph in the figure shows the variation of the electric potential V(x) (in arbitrary units) as a…

A: Electric field is the negative gradient of electric potential. E = -dV/dr

Q: An electron that is completely free to move is placed in a region of electric field and released.…

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Q: Over a certain region of space, the electric potential is V = 4x – 7x?y + 6yz?. (a) Find the…

A: Electric potential in a region is given by : V = 4x - 7x2y + 6yz2

Q: Consider a negative point charge moving from point A to point B in a space where the only force that…

A: 1) Charge = - q the charge moves from A to B

Q: A system of point charges includes q1= +1 microC at x1 = 2m, y1 =2m, q2= -1 microC at x2= -3m, y2=…

A: a)Electric potential at point C would be

Q: Two point charges Q, = +4.40 nC and Q, = -1.40 nC are separated by 45.0 cm. (a) What is the electric…

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Q: Shown to the left are three different paths as a proton moves  from an initial to a final location.…

A: Write the mathematical expression for the electric potential energy. U=kQqr Here, The Coulomb's…

Q: A proton is released from rest at point Q, where the potential is 0 V. Afterward, the protonA.…

A: Given  The potential at the Q point is VQ = 0 V. The potential at the P point is VP =-100 V. The…

Q: A proton is acted on by an uniform electric field of magnitude 443 N/C pointing in the positive x…

A: Given that:- Electric field is 443N/C along + x axis

Q: electron is released from rest in a uniform electric field. As it moves, which of the following…

A: According to conservation of energy Total energy of isolated system remains constant. Kinetic energy…

Q: Over a certain region of space, the electric potential is V = 4x – 4xy + 2yz". (a) Find the…

A: Solution:-Given thatElectric Potential V=4x-4x2y+2yz2X,Y & Z component of electric field over…

Q: Over a certain region of space, the electric potential is V = 4x - 6x²y + 2yz². (a) Find the…

A: Given: Electric potential V = 4x - 6x2 y + 2yz2To find: (a) x, y z components of electric field…

Q: A small particle has charge -4.10 μCμC and mass 1.80×10−4 kgkg. It moves from point AA, where the…

A: The given particle has a charge of -4.1 μC and a mass of 1.8×10-4 kg Let q=-4.1 μC=-4.1×10-6…

Q: The membrane that surrounds a certain type of living cell has a surface area of 4.70  10-9 m2 and a…

A: Let the membrane that surrounds a certain type of living cell has a surface area,(A) in metre. So,…

Q: x (cm) ol 1 2 3 4

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Q: Over a certain region of space, the electric potential is V = 4x − 1x2y + 7yz2. (a) Find the…

A: (a)The electric potential for the certain region of space is,The expression for the x component of…

Q: As an electron moves in the opposite direction of the electric field lines it is moving from high…

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Q: A particle is uncharged and is thrown vertically upward from ground level with a speed of 27.0 m/s.…

A: Given information: The initial velocity given to the uncharged particle (u1) = 27.0 m/s The initial…

Q: = −2.70 nC  are separated by 45.0 cm. (a) What is the electric potential at a point midway between…

A: Given :Q1 = +5.80nCQ2 = -2.70nCThese two charges are seperated by 45.0 cm

Q: The membrane that surrounds a certain type of living cell has a surface area of 6.4 x 10-9 m2 and a…

A: Given: The surface area of membrane is A=6.4X10-9 m2. The thickness of membrane is d=9X10-8 m. The…

Q: Over a certain region of space, the electric potential is V= 4x - 4x2y + 2yz². (a) Find the…

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Q: Over a certain region of space, the electric potential is V = 8x − 1x2y + 8yz2. (a) Find the…

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Q: Three charges are placed at the corners of an equilateral triangle with sides of length 2.0 m as…

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Q: 1) A small particle has charge -3.80 μC and mass 2.10×10−4 kg. It moves from point A, where the…

A: The system is with conservative forces; Applying law of conservation of energy; Kinetic…

Q: The graph in the figure shows the variation of the electric potential V as a function of position x.…

A: Given: graph of electric potential as a function of position  To Find: x-component of electric field…

Q: onsider a negative point charge moving from point A to po fluences its motion is due to electric…

A: Consider a negative point charge moving from point A to point B in a space where the only force that…

Q: Question 3. Two point charges Q, =+5.00 nC and Q: = -3.00 nC are separated by 35.0 cm. (a) What is…

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Q: Problem 4. The two charges in figure below are separated by a distance d = 2.00 cm, and Q = 15.00…

A: Given, Q = 15.00 nCd = 2.00 cmk = 9×109 N.m2C2

Q: The potential energy of a -5 10-6 C charge decreases from 10.2 J to 5.2 J when it is moved from…

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Q: The two charges in the figure below are separated by d = 4.00 cm. Let q, = -15.5 nC and q2 = 25.0…

A: Electric potential is a scalar quantity. Potential for each charges at point A are, For the charge…

Q: A proton is initially at rest at a point where the potential is 473 V. Some time later the proton is…

A: from the conservation of energy The gain in kinetic energy of the proton must be equal to the change…

Q: A particle is released from rest in a uniform electric field and then moves under the influence of…

A: A  particle is released from rest in a uniform electric field and then moves under the influence of…

Q: A proton has a speed of 2.0 x 105 m/s at a point where the electrical potential is 1000 V. It moves…

A: Given,Mass of the proton, m = 1.67×10-27 kgThe charge of the proton, q= 1.6×10-19 CThe electric…

Q: In the figure shown below, q = 2.0 x 10-9 C and d = 1.2 m. The electric potential at point P located…

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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.