23.55   CALC   A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is given by V(x) = Cx4/3 where x is the distance from the cathode and C is a constant characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 13.0 mm and the potential difference between electrodes is 240 V. (a) Determine the value of C. (b) Obtain a formula for the electric field between the electrodes as a function of x. (c) Determine the force on an electron when the electron is halfway between the electrodes.

Q: Suppose a diode consists of a cylindrical cathode with a radius of 6.200×10−2 cm , mounted coaxially…

A:

Q: A research Van de Graaff generator has a 1.60 m diameter metal sphere with a charge of 44.0 µC on…

A: diameter (d) = 1.60 m charge (Q) = 44 μC

Q: Two large charged plates of charge density +45µC/m² face each other at a separation of 7 mm. Choose…

A:

Q: a) Find the electric potential difference Vg - Va due to a point charge q1 = -2.48 nC that is 0.280…

A: Electric potential due to charge distribution

Q: Two parallel plates are held at a potential of + 40 V and + 22 V. If the plates have area of 44 cm2…

A: Given that Potential of first plate V1 = 40 V Potential of second plate V2 = 22 V Area of the plate…

Q: what is the electric potential in volts (relative to zero at infinity) at the origin for a charge of…

A: Given: Charge density (λ) = 14.48 nC/m. Electric field zone (z1) = 2.9 m. to (z2) = 5.58 m.

Q: In the figure, a uniform thin bar of length L is placed along the x-axis. The linear charge density…

A: Given

Q: A parallel-plate capacitor with plate area 5.4 cm^2 and air-gap separation 0.45 mmmm is connected to…

A:

Q: 1. A 5.80-μF, parallel-plate, air capacitor has a plate separation of 5.00mm and is charged to a…

A: We have a parallel plate capacitor of C=5.8 uF=5.8×10-6F having a separation of d=5 mm=5×10-3m which…

Q: A certain amount of excess charge is transferred a conducting sphere with a diameter of 30 cm such…

A:

Q: A parallel-plate capacitor has capacitance Co5.00 pF when there is air between the plates. The…

A: Required : Maximum charge that can be stored on the capacitor plates.

Q: Negative charge －Q and positive charge 3Q are distributed uniformly over the surfaces of two thin…

A: Electric Potential is defined as the work done to bring a unit positive charge from infinity to a…

Q: P 26. At a point P, a distance Ro 20 from a positive charge Qo, the electric field has a magni- Ro…

A:

Q: A8-cm long wire carrying a uniformly distributed 12-uC charge is bent into a semicirdle. What is the…

A: Electric potential is the work done in moving a unit positive charge from infinity to the present…

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: A uniform electric field, with a magnitude of 500 V/m, is directed parallel to the +x axis. If the…

A:

Q: A research Van de Graaff generator has a 2.70 m diameter metal sphere with a charge of 1.11 mC on…

A:

Q: An alpha particle, which has charge 3.20 ✕ 10−19 C, is moved from point A, where the electric…

A: charge on alpha particle = 3.20×10-19 C Potential at A = 3000 N/C Potential at B = 4900 N/C

Q: A 12.5 nC charge is at z = Ocm and a -1.2 nC chaige is at z = 6 cm . Part A At what point or points…

A:

Q: x=+2L x=0 x=+L P A non-conducting rod is along the x-axis between x=0 and x=+L. The linear charge…

A: Dear student The potential due to a charge q at a distance r is given by : V = Kq/r For a…

Q: A spherical metal shell of radius R=15 cm has surface charge distribution of o = -1.06 ×…

A:

Q: An isolated conducting sphere has radius R = 0.30 m and a charge of +40 µC. Point A is at a distance…

A:

Q: A solid spherical insulator has a uniform volume charge density of 5nC/m^3 and a radius of 2m. What…

A: Potential at surface will be same as due to point charge

Q: The electric potential in a certain region varies with position as V(x) = ax2 - bx + c, where a =…

A:

Q: A 8-cm long wire carrying a uniformly distributed 12-μC charge is bent into a semicircle. What is…

A: The electric potential is defined as the work required to move a charge from one point to another .…

Q: Calculate the electrical potential at a point 10 cm from the center of an insulating sphere of 18 cm…

A: Total charge on sphere Q = 27 nC Radius of sphere R = 18 cm = 0.18 m We need to find potential at…

Q: In Figure 3, a thin plastic rod of length L= 0.12 m is shown with uniformly distributed positive…

A: The linear charge density on the rod is λ=QL=56 C0.12 mλ=466.67 C/m. 1) Potential at point P1.…

Q: n the figure, the charge q=0.880×10^−9C. A) Find the electric potential at x=0.450m Express your…

A:

Q: An electron is already moving at a speed of 2.2 x 105 m/s as it passes point A on the way to point…

A: mass of electron (m) = 9.11×10-31 kg speed of electron at point A = 220000 msspeed of electron at…

Q: A total electric charge of 3.5nC is distributed uniformly over the surface of a metal sphere with a…

A: q = 3.5 nC = 3.5 × 10-9 C R = 16 cm 1) r = 10.0cm 2) r = 24.0cm

Q: A research-level Van de Graaff generator has a 2.15 m diameter metal sphere with a charge of 5.2 mC…

A:

Q: A spherical conductor has a radius of 8 mm and a charge of 20μC. Calculate the electric field and…

A:

Q: Consider a thin sheet of copper with −4.5 × 10-9 C/m2 that is held parallel to the yz-plane and…

A: Given that:σ=-4.5×10-9 C/m2   ( held parallel to the yz-plane)Let the position vector of point P is…

Q: A solid spherical insulator has a uniform volume charge density of 5nC/m^3 and a radius of 2m. What…

A: Volume charge density at the surface of the sphere, ρ= 5 nCm3 radius of the sphere, R = 2 m

Q: In the figure above, an electron is released at an angle of 45 degrees from the parallel-plate…

A: Given,            The electric field, E = 2.85×104N/C.

Q: Consider a sphere of charge of 7.18 μC at the center. a) From which distance from this point charge…

A: The magnitude of the sphere of charge is Q=7.18 μC=7.18×10-6 C

Q: An infinite nonconducting sheet has a surface charge density s 5.80 pC/m2. (a) How much work is done…

A:

Q: A 12.5 nC charge is at z = Ocm and a -1.2 nC chalge is at z = 6 cm . Part A At what point or points…

A: Given data: Charges are 12.5 nC and -1.2 nC x = 6 cm Need to determine the point on the x-axis is…

Q: A charge of uniform density (56 nC/m) is distributed along the x axis from the origin to the point x…

A: Given information: Here, λ is the linear charge density.

Q: 3.0 иС 5.0 сm 40° 50° 5.0 сm 7.0 ст. | 2 3 4.0 uC -2.0 uC

A: We need to calculate the potential at point P due to all the charges shown in the figure.

Q: A uniform electric field with a magnitude of 600 N/C, is directed parallel to the positive x-axis.…

A:

Q: The electric potential on the surface of a charged conducting sphere is 210 V, and 10.0 cm farther…

A: Given : V1=210 V V2=140 V

Q: istance in meters from its center is the potential 1.00 MV? C) an oxygen atom with two missing…

A: We know that the formula of the potential is given as  V = kqr where q is the charger is the radius…

Q: A research Van de Graaff generator has a 2.30 m diameter metal sphere with a charge of 1.03 mC on…

A: Given Information:- Diameter of the Van de Graff generator is  d=2.30 m Radius of the generator is…

Q: A parallel plate capacitor is charged to a potential of 3000 V and then isolated. Find the magnitude…

A: Given: ∆V=3000 VA    =0.40 m2 d    =0.020 mAnd we know:εo   =8.854×10-12 F/m We know the formula for…

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.