Two large, parallel, metal plates carry opposite charges of equal magnitude. They are separated by 45.0 mm, and the potential difference between them is 360 V. (a) What is the magnitude of the electric field (assumed to be uniform) in the region between the plates? (b) What is the magnitude of the force this field exerts on a particle with charge +2.40 nC? (c) Use the results of part (b) to compute the work done by the field on the particle as it moves from the higher-potential plate to the lower. (d) Compare the result of part (c) to the change of potential energy of the same charge, computed from the electric potential.

Two large, parallel, metal plates carry opposite charges of equal magnitude. They are separated by 45.0 mm, and the potential difference between them is 360 V. (a) What is the magnitude of the electric field (assumed to be uniform) in the region between the plates? (b) What is the magnitude of the force this field exerts on a particle with charge +2.40 nC? (c) Use the results of part (b) to compute the work done by the field on the particle as it moves from the higher-potential plate to the lower. (d) Compare the result of part (c) to the change of potential energy of the same charge, computed from the electric potential.

Related questions

Q: An infinite, nonconducting sheet has a surface charge density σ = +6.39 pC/m2. (a) How much work is…

A: It is given that,

Q: What is the magnitude of the electric field at the point (4.40 î - 9.10 ĵ + 4.40 k̂) m if the…

A: Given: Point for electric field,P=4.40 i^,-9.10 j^,4.40 k^ Electric potential, V=8.80 xyz2…

Q: A uniform electric field of magnitude 414 N/C pointing in the positive x-direction acts on an…

A: Given: Electric field, E = 414 N/C mass,m = 9.1 x 10-31 kg distance,d = 3 cm

Q: An infinite, nonconducting sheet has a surface charge density o = +6.53 pC/m2. (a) How much work is…

A: The given non-conducting infinite plane sheet has a surface charge density of σ=+6.53…

Q: In the quark model of fundamental particles, a proton is composed of three quarks: two “up” quarks,…

A: According to question --- Given that -- Charge of up quarks (q1 = q2) = 2e/3 . Charge of down quark…

Q: An infinite, nonconducting sheet has a surface charge density σ = +6.39 pC/m2. (a) How much work is…

Q: Oppositely charged parallel plates are separated by 6.06 mm. A potential difference of 600 V exists…

Q: A graph of the x component of the electric field as a function of x in a region of space is shown in…

Q: Nuclear fission is a process in which the nucleus of an atom splits into two almost the same pieces.…

Q: t a particular moment in the xy plane, The electrical potential of V(x,y) is provided by V(x,y) = y…

A: The electric field is given by taking the negative signed gradient of the potential function, i.e…

Q: Two point charges Q₁ = +6.00 nC and Q₂ = -2.30 nC are separated by 45.0 cm. (a) What is the electric…

Q: A graph of the x component of the electric field as a function of x in a region of space is shown in…

Q: The amount of work you have to do to move a charge q from point Pi to point P2 through a small…

A: Work done on the charge is given by the expressionW=-qE∆rcosφφ is the angle between the displacement…

Q: A positive point charge (q +9.51 x 108 C) is surrounded by an equipotential surface A, which has a…

Q: What is the magnitude of the electric field at the point (2.80 i - 5.30 j +5.70 k) m if the electric…

A: Given: co-ordinates of the point= (2.80i^-5.30j^+5.70k^) m Electric potential V= 2.20xyz2…

Q: Problem 3: Consider two points in an electric field. The potential at point 1, V1, is 47 V. The…

A: Given: Potential Difference at point 1,V1=47VPotential Difference at point…

Q: The last surviving dodo bird had been hiding out on a far-away island with only a 73-μC point charge…

Q: Four identical charged particles (q=+12.0 µC) are located on the corners of a rectangle as shown in…

Q: An infinite, nonconducting sheet has a surface charge density σ = +6.39 pC/m2. (a) How much work is…

A: Given : The surface charge density of the non-conducting sheet is 6.39 pC/m2 The charge on the…

Q: A uniform electric field of magnitude 3.90 N/C is directed along the +x-axis. If a 2.30 uC charge…

Q: A uniform electric field of magnitude 410 N/C pointing in the positive x-direction acts on an…

Q: a) Calculate how much work is required to set up the arrangement if the charges are initially…

Question

Two large, parallel, metal plates carry opposite charges of
equal magnitude. They are separated by 45.0 mm, and the potential difference
between them is 360 V. (a) What is the magnitude of the electric
field (assumed to be uniform) in the region between the plates? (b) What
is the magnitude of the force this field exerts on a particle with charge
+2.40 nC? (c) Use the results of part (b) to compute the work done by
the field on the particle as it moves from the higher-potential plate to
the lower. (d) Compare the result of part (c) to the change of potential
energy of the same charge, computed from the electric potential.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Please Asap
Two charges are held apart to store some potential energy. Charge q1 =6.50 microCoulombs and charge q2 =-8.50 microCoulombs. The charges are spaced out by distance d =1.65 m. What is the electric potential energy of the system of charges? (Answer in J)
Three point charges are individually brought from infinity and placed at the corners of a rectangle with a short side of 6.0 cm and a long side of 8.0 cm. Two charges are fixed to corners of one long side and the last charge is fixed to the corner along one short side. Each charge has the identical value Q = - 5.5 C. What is the electric potential energy of the system? O 1.8 × 10-4 J O OJ O 2.1 x 10-5 J O 1.9 x 10-5 J O 1.1 x 10-5 J
Problem 16: Consider two points in an electric field. The potential at point 1, V1, is 37 V. The potential at point 2, V2, is 192 V. An electron at rest at point 1 is accelerated by the electric field to point 2. Part (a) Write an equation for the change of electric potential energy AU of the electron in terms of the symbols given. AU = a Δυ 8 9 HOME d e 4 5 6 g h i 1 2 3 m me P - END V1 V2 VO BACKSPACE CLEAR DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. 6 Part (b) Find the numerical value of the change of the electric potential energy in electron volts (eV). Part (c) Express v2, the speed of the electron at point 2, in terms of AU, and the mass of the electron mẹ. Part (d) Find the numerical value of v2 in m/s.
The electric potential in a certain region is represented by the graph shown below. What is the electric force vector on an alpha particle that is at x = 0.70 cm and moving to the right? Express your answer in vector form. F = v (10° v) 10 6 5 4 3 2 1 X (cm) 6 1 2 3 4 5
A uniform electric field of magnitude 368 N/C pointing in the positive x-direction acts on an electron, which is initially at rest. The electron has moved 3.10 cm. (a) What is the work done by the field on the electron? J (b) What is the change in potential energy associated with the electron? J (c) What is the velocity of the electron? magnitude m/s direction ---Select--- +x -x +y -y
What is the magnitude of the electric field at the point (4.00 î - 9.00 ĵ + 3.90 k̂) m if the electric potential is given by V = 3.20xyz2, where V is in volts and x, y, and z are in meters?
The figure below shows a small, charged sphere, with a charge of q = +38.0 nC, that moves a distance of d = 0.171 m from point Ato point B in the presence of a uniform electric field E of magnitude 280 N/C, pointing right. (a) What is the magnitude (in N) and direction of the electric force on the sphere? magnitude n? (b) What is the work (in J) done on the sphere by the electric force as it moves from A to B? J?? (C) What is the change of the electric potential energy (in J) as the sphere moves from A to B? (The system consists of the sphere and all its surroundings.) PEB − PEA = ? J (D)What is the potential difference (in V) between A and B? VB − VA = ? V
Please don't provide handwritten solution ..... The electric potential V(x, y, z) in a region of space is given by V(x, y, z) = V0(6x2 − 3y2 − z2), where V0 = 18.0 V and x, y, and z are measured in meters. Find the electric field at the point (1.40 m, 1.40 m, 0). (Express your answer in vector form.)
Problem 7: Consider two points in an electric field. The potential at point 1, V1, is 26 V. The potential at point 2, V2, is 159 V. An electron at rest at point 1 is accelerated by the electric field to point 2. Part (a) Write an equation for the change of electric potential energy ΔU of the electron in terms of the symbols given. Part (b) Find the numerical value of the change of the electric potential energy in electron volts (eV). Part (c) Express v2, the speed of the electron at point 2, in terms of ΔU, and the mass of the electron me. Part (d) Find the numerical value of v2 in m/s.
A uniform electric field of magnitude 356 N/C pointing in the positive x-direction acts on an electron, which is initially at rest. The electron has moved 3.60 cm. (a) What is the work done by the field on the electron? J(b) What is the change in potential energy associated with the electron? J(c) What is the velocity of the electron? magnitude m/s direction ---Select--- +x -x +y -y
The drawing above shows a graph of a set of equipotential surfaces seen in cross section. Each is labeled according to its electric potential. A 3.3E-7 C point charge is placed at position A. Find the work that is done on the point charge by the electric force when it is moved (a) from A to B, and (b) from A to C