Find the electrostatic potential inside a tube of infinite length along the axis z and whose cross section is a square of side a in the xy plane; as shown in figure, three of sides are grounded to zero, while the top face, at y = a, has a constant potential Vo. y, V(x.y=a)=V_ V(x=0,y)=0 V(x=a,y)=0 V(x.y=0)=0
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- 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) =A charge Q field E and the electrostatic potential at rı 10-10C is uniformly distributed on a sphere of radius R= 10cm. What is the valued of the electric R. , r2 = R, r3 = 2R from the center of the sphere?A 9V battery is connected between an inner spherical conductor (R₁ = 10 cm) and a concentric conducting spherical shell (R2 = 30 c m, R3 = 35 cm,). The inner spherical conductor is positively charged (+Q) and the outer conducting spherical shell is negatively charged (-Q). Find the potential at a point, r, between the conductors where the electric potential of the outer conducting spherical shell is set to zero as the reference. O R₂ v(r) = v(r) = R₂ R₁ Q Απερ Q 4πε r 1 (1/1₂ - +) V(x) = R. 1 R Q Απε R 0 V (1) = - =-(- - - - -) Q 1 1 V(r) 4πε r R
- The vertical deflecting plates of a typical classroom oscilloscope are a pair of parallel square metal plates carrying equal but opposite charges. The potential difference between the plates is 25.0 V. Typical dimensions are about 3.3 cm on a side, with a separation of about 5.0 mm. The plates are close enough that we can ignore fringing at the ends. Part A:Under these conditions, how much charge is on each plate? Q=__C Part B:How strong is the electric field between the plates? E=__V/m Part C:If an electron is ejected at rest from the negative plates, how fast is it moving when it reaches the positive plate?v=__m/sFour equal positive charges, of magnitude 10-6 C are situated at the corners of a square, with a length of side equal to 0.25m. A small test charge of 10-9 C is placed at location X, in the exact center of the square. What is the magnitude of the potential energy of the test charge and what is the voltage at X? If the test charge is released what is its final velocity, taking its mass to be 1.5g?A uniform electric field of magnitude 280 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point A are (-0.900, -0.200) m, and those of point ® are (0.500, 0.450) m. Calculate the electric potential difference Va - V, using the dashed-line path. A
- The diagram below depicts a cross section of coaxial conductor with an inner wire of diameter di and an outer conducting sheath of inside diameter do, and some material placed in the space between the two wires. Suppose that you have a coaxial wire with di=1.3 mm and do=7.55 mm, and we put mylar (κ=3.1) in the space between the two wires. If there is a potential of 1 kV between the wires, how much energy is stored in a 10 m piece of cable? For my answer I got 5.32 J which was wrong.Parl D Constants A cylindrical capacitor has an inner conductor of radius 2.8 mm and an outer conductor of radius 3.2 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.5 m long. The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the inner conductor. Express your answer with the appropriate units. μA ха Хь ماه a b X.10n ☑ Q1= 336 C Submit Previous Answers Request Answer × Incorrect; Try Again; 3 attempts remaining Check that you have converted between SI units of electric charge correctly. Part C The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the outer conductor. Express your answer with the appropriate units. HA ? Q2 Value UnitsPoint Charges 12 v.B If Q1 is a negative charge, what is the direction of the potential V1 at point P? Q1 O The potential has no direction. H Q2 13 Two point charges (Q1, Q2) and point P in empty space are located on the corners of a rectangle of length L = 3.0 m and height H = 1.6 m. V1= electric potential (or voltage) generated by the charge Q1 V2 = electric potential (or voltage) generated by the charge Q2 If the charges have values of Q1 = -3.5 µC and Q2 = +1.8 µC, what is the value of the total potential (or voltage) at point P? Enter the numerical value in Sl units. %3D %3D Type your answer...
- A thin rod extends along the x-axis from x = −a to x = a . The rod carries a positive charge +Q uniformly distributed along its length 2a with charge density λ, as shown in Figure attached. a) Use dV = 1/4πε0 ∫ dq/r to show that the electric potential at point P is given by: V(x) = (λ/4πε0) ln(x + a/x − a) b) What is the electric potential of the rod at x = 4a and x = 2a? c) What is the electric potential difference between x = 4a and x = 2a?Attached question.Question B