A small ball with charge q = 12.8 μC and mass m = 0.065 kg is suspended from the ceiling by a string of length L = 2 m and is initially at rest. A uniform horizontal electric field E of magnitude 500 V/m is applied to the ball-string system. The ball then begins to move. Ignore air resistance. a)Suppose point B is the highest point the ball can reach. Take θ as the angle of the string with the vertical direction at point B. Enter an expression for the change of gravitational potential energy ΔUg from point A to point B in terms of the symbols given.  b) Enter an expression for the change of the electrical potential energy ΔUe from point A to point B in terms of the symbols given.

Q: A beam of electrons traveling horizontally with an initial speed of v, = 3.0 x 10' m/s enters a…

A: Given,

Q: An electron is projected with in a region where there is a uniform electric field parallel to the…

A: An electron is projected with in a region wherethere is a uniform electric field parallel to the…

Q: Consider an electron is released from rest in a uniform electric field whose magnitude is 4.10 x…

A: Given: The strength of the electric field is 4.1x103 V/m. The distance is 1.2 cm.

Q: Each plate of a parallel-plate air capacitor has an area of 0.0040 m2, and the separation of the…

A: Seen below page sloution

Q: A proton is fired from very far away directly at a fixed particle with charge q = 1.32 x 10-18 C. If…

A: Given: The charge of a fixed particle is 1.32x10-18 C. The initial speed of the proton is 3.3x105…

Q: An electric dipole consists of two particles, each with mass 16 Dalton, and charges ±2e. The…

A: Given data as per question mass  =  16dalton charge =  2e width = 25cm

Q: An electron is fired into the midpoint of a field between two charged plates with a uniform E= 600…

A: Given value--- electric field = 600 N/C . velocity of electron = 1.3 × 106 m/s. distance between…

Q: An electron is to be accelerated in a uniform electric field having a strength of 1.60 x 10° V/m.…

A:

Q: Two parallel metal plates have a potential difference of 2000V applied across them as shown. A…

A: Given: The potential difference applied between the plates is V = 2000 V The mass of the particle is…

Q: A small object with mass m, charge q, and initial speed v = 6.00×103 m/s is projected into a uniform…

A:

Q: A small object with a charge of q = 14.0 µC travels from the origin to the point (x, y) = (20.0 cm,…

A:

Q: The ink drops have a mass mmm = 1.00×10−11 kg each and leave the nozzle and travel horizontally…

A: Given: Mass of ink drop=1.00×10−11 kg velocity (v)= 15.0 m/s Length of parallel deflecting plates…

Q: Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm. The electric…

A:

Q: A uniform electric field is created by two parallel plates separated by a distance of 0.04 m. What…

A:

Q: A spherical capacitor contains a charge of 3.30 nC when connected to a potential difference o 220 V.…

A: Given : Charge on the capacitor = 3.30 nC Potential difference = 220 V

Q: The electric field strength between two parallel conducting plates separated by 5.00 cm is 9.60 ✕…

A:

Q: An electron is fired at a speed v0 =4.30x106 m/s and at an angle θ0 = −45° between two parallel…

A: Velocity of the electron is v0 =4.30x106 m/s  Distance between the plates is D = 5 mm Potential…

Q: A uniform electric field is created by two horizontal parallel plate electrodes of length 10 cm…

A: Length (L) = 10 cm = 0.1 m Vertical distance (d) = 5 cm = 0.05 mV = 250 volts v = 5×106 ms

Q: What is the electric-field strength between the identical, rectangular, conducting plates of a…

A:

Q: An electron is to be accelerated in a uniform electric field having a strength of 0.5 x 106 V/m.…

A: Given :E=0.5 x 106 V/md=0.400 m

Q: A uniform electric field is created by two horizontal parallel plate electrodes of length 10 cm…

A:

Q: The drawing shows an electron entering the lower left side of a parallel plate capacitor and exiting…

A:

Q: A small object with a charge of q = 11.0 µC travels from the origin to the point (x, y) = (20.0 cm,…

A: a. Consider only the x length since the electric field is towards the x direction. So the change in…

Q: A uniform electric field of magnitude 3 x 10^3 N/C pointing upward is created between two parallel…

A: Write a given values of this question. Electrical field. E=3×103N/C Distance between two separate…

Q: An alpha particle (ααalpha), which is the same as a helium-4 nucleus, is momentarily at rest in a…

A:

Q: A particle with charge q = +1e and mass m = 8.5 × 10-26 kg is injected horizontally with speed 2.5 ×…

A:

Q: Which of the following statements is not true about a conductor in electrostatic equilibrium?…

A: Correct option is 'd' because  The electric field inside a conductor is always zero. So due to which…

Q: A uniform electric field is created by two horizontal parallel plate electrodes of length 10 cm…

A: Recall a=eE/m h=1/2at2

Q: An electric field of +200 mV/m originating from the positive metal plate. With the starting surface…

A: Given data:  Electric field (E) = +200 mV/m = +200×10-3 V/m Distance (d) = 10 Nm = 10×10-9 m…

Q: b) Electrons in a narrow beam travelling at a steady speed of 4.19 x 107 m/s are directed into the…

A:

Q: The electric field Strength between two parallel conducting plates separated by 4.60 cm is 8.90*10^4…

A:

Q: An electron is shot directly toward the center of a large metal plate that has surface charge…

A:

Q: A particle with charge q = +5e and mass m = 6.5 × 10-26 kg is injected horizontally with speed 2.8 ×…

A: Charge , q = +5e Mass , m = 6.5 x 10-26 kg Initial velocity , V0 = 2.8 x 106 m/s E = 31 kN/C Length…

Q: The ink drops have a mass mmm = 1.00×10−11 kg each and leave the nozzle and travel horizontally…

A:

Q: A uniform electric field exists between two parallel plates separated by 1.2 cm. The intensity of…

A: Given: d = 1.2 cm =0.012 mE =23 KN/C=23*103 N/C

Q: The potential difference between two parallel plates separated by 2 mm is 2500V. If the electric…

A:

Q: A particle with a charge of g = 11.0 µC travels from the origin to the point (x, y) = (20.0 cm, 50.0…

A:

Q: the ink drops are uniform drops of mass m = 1.25 x 10-8g. the drops are charged to a controllable…

A: The time taken by the drop to flow along the length of the plates is

Q: The surface charge density (eta) h of an infinite charged plane is -2.0 x 10-6 C/m2. A proton is…

A:

Q: Parallel plates are separated by 5.33 m. A potential difference of 600V exists between plates. What…

A: Given value--- distance between plate = 5.33 m. Potential V= 600 V. We have to find--- electric…

Q: An electron is to be accelerated in a uniform electric field having a strength of 1.90 x 10 V/m. (a)…

A: Given: The strength of the electric field is 1.90x105 V/m.

Q: A uniform electric field is created by two horizontal parallel plate electrodes of length 10 cm…

A: Length of electrodes (L)=10 cm Vertical distance between the electrodes (d)=5 cm Potential…

Q: Each plate of a parallel-plate air capacitor has an area of 0.0020 m2, and the separation of the…

A: GIVEN : Area of each plate is 0.0020 m2 Separation of plates (d) is 0.090 mm Electric field between…

Q: small object with mass mm, charge qq, and initial speed v0v0v_0 = 6.00×103 m/sm/s is projected into…

A: Given : vo = 6.00×103 m/s D1 = 26 cm = 0.26 m E = 600 N/C d = 1.35 cm = 0.0135 m D2 = 56 cm = 0.56 m

Q: Two materials with thicknesses and dielectric constants d1 = 5cm, K1 = 5 and d2 = 6cm, K2 = 6 are…

A: Dielectric 1 , dielectric constant, k1 = 5 thickness, d1 = 0.05 m Dielectric 2,  dielectric…

Q: The ink drops have a mass mmm = 1.00×10−11 kg each and leave the nozzle and travel horizontally…

A:

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.