3. For an infinite long rectangular tube (axb, along z axis) with the boundary conditions below, what's the potential inside? (V=0 on all the surface except V=Vo at the surface at X=0) y=b V=0 V=0 X=a X
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![3. For an infinite long rectangular tube (axb, along z axis) with the boundary conditions
below, what's the potential inside? (V=0 on all the surface except V=Vo at the surface at
X=0)
y=b
V=0
V=0
V=0
X=a
N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dee4006-0ba9-42c5-98fb-d88c820742c8%2F6d69130f-4416-4b5a-a283-31241b45a80a%2F8i9etqq_processed.jpeg&w=3840&q=75)
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- Needs Complete typed solution with 100 % accuracyA rod of length Llies along the xaxis with its left end at the origin. It has a uniform charge density λ. Calculate:a. The electric potential at point A = ( x = -d, y = 0).b. The electric potential at point B = (0, b)as shown.2. The figure shows two parallel plates. The graph indicates the potential at points (X1= 0.300 m and X2= 0.400 m) between two plates, with V2 = 20 V and V1= 15 V. An electron is released from rest at x1, and that release point and the plate locations are aligned with the graph. What is the electrons speed (m/s) just as it runs into the plate? (You must decide which plate it hits) helpful info:: grap wo plate it hits.) V₂ V₁ 0 A | | X₁ X₂ e (Electron charge q = -1.6 x 10¹9 C, AK-q AV, electron mass = 9.1 x 10-³¹ kg, V=Joule/Coulomb, 1 eV = 1.6 x 10¹9 J, K-mv²/2)
- 16, 17, 18The electric potential of a charged conducting sphere (as well as a spherical shell) can be calculated as Q R' V = k where is the charge and R is the radius of the sphere. Calculate the electric potential of a solid conducting sphere of a radius of R = 6 cm if the sphere loses 0.1% from the total number of its free electrons. The sphere is made of aluminum and has the density 2.7 g/cm³, molar mass 27 g/mol and one free electron per atom. Follow the steps listed below. 1. Find the number of free electrons per cm³ in aluminum. The number of free electrons per cm³, ne = Units Select an answer ✓ 2. Calculate the volume of the sphere and use it to find the total number of free electron inside the sphere. The number of free electrons, Ne = Units Select an answer 3. Calculate the charge of the sphere after it loses 0.1% of its electrons and use it to find the potential of the sphere. The electric potential of the sphere, V = Units Select an answer ✓There is a non contuctive thin spherical shell with radius r=20 cm. It Carries a uniformly distributed + charge of q=1.5nC. The electric potential at point P, located at distance D=30cm from the sphere surface is equal to what? (The following have units V) a. 27 b. 45 c.54 d. 67 e. 150
- A charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity. V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =5. A 4.0-nm-diameter protein is in a 0.05 M KCl solution at 25°C. The protein has 9 positive and 20 negative charges. Model the protein as a sphere with a uniform surface charge density. What is the electric potential of the protein (a) at the surface and (b) 2.0 nm from the surface?1. A ball of solid conductor is given an electric charge so that the magnitude of the electric potential just outside the ball is 100 V, while the electric potential at a distance of 10 cm outside the surface of the ball is 20 V. Determine the radius of the conducting ball and the electric potential at a distance of 20 cm outside the ball.
- 4. An aluminum sphere is placed in a previously uniform electric field. Find the electric potential after the sphere has been added. (Hint: this problem is artificial in that we assume that the electric field at infinity is E 2). What is the potential for a constant field? 1 E,ż urite down boundary unditens t02=-7V R A,+r +P V = 0 vire)= then ure E (Arre + Be t. re) Pelloso)10. Metal tube of infinite length and square cross-section with sides 0 ≤x≤L, 0 ≤ y ≤ L has three of its sides at potential zero and the fourth (y=L) in potential U. It is requested to determine the potential at inside the tube. Assume that along the contact lines of between surfaces with different potential there is a thin insulating material.The electric potential of a very large, negatively Charged, flat metal Sheet is 315 V. it carries a uniform distribution of charge of Surface density 8 nC/m². Determine the potential at a distance 40.3 cm from the sheet. Ignore edge effects. U = 315 Ved (sheel)