A particle with a charge of -8.0x10-18 C moves to the left at a speed of 4x103 m/s. It enters a region with a uniform E- and B-field. The E-field has a magnitude of 0.5 N/C and points vertically downward. As the particle enters the region of the E- and B-field, it continues moving to the left at a constant speed. No deflection is observed. Neglect the effects of the Earth's gravitational and magnetic field on the particle. Determine the magnitude and direction of the B-field. Clearly show all steps, starting from generalized equations. Your explanation should cover both what you did and the thought process behind why you did that.

Q: Two charged particles are observed in vacuum. The details of the particles are as follows: Particle…

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Q: A 21 x 10-6  C point charge is held at rest within a uniform electric field of 865.8 N/C directed in…

A: Given data: Charge, q=21×10-6 C Electric field, E=865.8 N/C Distance moved by the charge, x=0.63 m…

Q: Two small metallic spheres, each of mass m = 0.218 g, are suspended as pendulums by light strings of…

A: Given: The mass of the sphere is 0.218 g. The length of the string is L. The charge on each sphere…

Q: An electric field with a magnitude of 6.0 x 104 N/C is directed parallel to the positive y axis. A…

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Q: A particle (with charge +6.00 mC and mass 60.0 g) has an initial velocity of 20.0 m/s in the…

A: It is given that,

Q: A proton is released from rest at point A in a uniform electric field that has a magnitude of 7 x…

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Q: A dust particle with a positrive charge of 3.00 µC and a mass of 4.00 mg, is initially at rest in a…

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Q: Two particles of equal mass, m= 0.5 kg, are initially at rest (t=0). The first particle has an…

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Q: electric dipole moment of a water molecule (H2O) is 6.13×10−30 C⋅m. You place a water molecule in a…

A: Given Dipole moment p = 6.13 × 10-30 Cm  Electric field E= 3 × 105 N/C  Angle= 500

Q: Why is the following situation impossible? You set up an apparatus in your laboratory as follows.…

A: The electric potential at the x center of charged ring can be given by When the point charge is…

Q: A pair of charged conducting plates produces a uniform field of 12,000 N/C, directed to the right,…

A: Given data The electric field is given as E = 12000 N/C. The separation between the plates is s =…

Q: Three wires, each carrying 10 A are oriented in a plane with a separation of 2cm as shown below. A…

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Q: a positively charged particle with mass 3.4 g and charge 12 C is initially moving with velocity 5.8…

A: The equation for the acceleration of the charged particle in the electric field is given by,

Q: Two small metallic spheres, each of mass m = 0.300 g, suspended as pendulums by a light string of…

A:

Q: A particle of charge +13.4 C and mass 1.86 × 10-5 kg is released from rest in a region where there…

A: Given data: Charge of a particle, q = 13.4 C Mass, m = 1.86 x 10-5 kg Electric field, E = 790 N/C…

Q: A particle of charge Q is fixed at the origin of an xy coordinatesystem. At t = 0 a particle (m =…

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Q: An electron moves initially to the right as it enters a region between two parallel plates that have…

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Q: Two point charges q1= 1.25 nC and q2= 4.50 nC with masses of = 3.00 µg and = 1.00 µg respectively,…

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Q: A doubly charged (so twice the charge of a proton) helium atom whose mass is 6.6 x 10- 27 kg is…

A: charge (q) = +2 e mass (m) = 6.6×10-27 kg initial velocity (u) = 0 m/s Potential difference (∆V) =…

Q: An alpha particle, consisting of two protons and two neutrons, is located at nm and produces an…

A: Given, Two neutron and two protons are at, <-32, 0, 0> A neural Krypton atom, with…

Q: A proton has an initial velocity of 3.7 × 107 m/s in the horizontal direction. It enters a uniform…

A: Given data The initial velocity of the proton is given as v = 3.7 x 107 m/s. The electric field is…

Q: A "thin" uniform non-conducting rod of length L = 54.8 cm carries charge Q = 527 µC distributed…

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Q: A particle with a charge of 5 x 10° C and a mass of 20 g moves uniformly with a speed of 7 m/s in a…

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Q: An elctric dipole with dipole moment p =19i^+32j^+23k^ is placed in an electric field E'=8i+3j+9k .…

A: Given: The dipole moment is 19i^+32j^+23k^. The electric field is 8i^+3j^+9k^.

Q: A particle has mass (m) of 0.16 g and a charge of q=-2.0nC. The particle is originally at rest when…

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Q: Two positive charges, each with a charge of Q = 55.0 µC, are held fixed at a distance L = 28.20 cm…

A: Given: Charge = , Q = 55 uC Distance between either side of the charge by small particle, L = 28.20…

Q: torque acting on the dipole

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Q: 2d P+ Q v. A particle of charge +q and mass m is ejected from the point P with the initial velocity…

A: Given: initial velocity u→=30i^+20j^ m/s d=2 cm = 0.02 m L = 10 cm =0.1 m V = 1000 V

Q: A charged particle of +5.00 nC moves from the origin to the position X = 10.0 m in a uniform E -…

A: Given data, charge on the particle, q = +5nC = 5×10-9 C magnitude of electric field, E = 50 V/m…

Q: Two point charges q1 = 6.80 nC and q2 m1 = 7.11 µg and m2 = 4.01 µg, respectively, are both…

A: Given  Charge  Q1 = 6.80 nC  Q2 = 3.11 nC  Masses  M1 = 7.11 ug  M2 = 4.01 ug  Initial distance, D1…

Q: Two charges, q 1 = 2.0 µ C and q 2 = - 2.0 µ C are separated by a distance of 2 mm. What is the…

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Q: A total positive charge of 12.00 mC is evenly distributed on a straight thin rod of length 6.00 cm.…

A: Total charge on rod is Q = 12×10-³ C  Length of rod is L = 6 × 10-² m  Point charge is q = 4×10-⁹ C…

Q: Two point charges of + 2.00 µC and - 8.00 µC are separated by a distance of 20.0 cm. What is the…

A: Charge q1=2.00 μC =2×10-6 C Charge q2=-8.00 μC =-8×10-6 C Separation distance is D=20 cm = 0.2 m

Q: Two 2.00 µC charged particles are located on the x axis. One is at x = 1.00 m, and the other is at x…

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Q: A 1.13X10^-19 -C negative charge is travelling with a speed of 3.5X10^7 m/s through a uniform field…

A: Given data:  Charge (q) = 1.13×10-19 C Speed (v) = 3.5×107 m/s Magnetic field (B) = 0.076 T Mass (m)…

Q: A positively charged particle with mass 3.4 g and charge 12 C is initially moving with velocity 5.8…

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Q: A very long, straight wire has charge per unit length 1.50 x 10-10 C/m. At what distance from the…

A: Given data:   Charge per Unit Length, λ=1.50×10-10N/C   Electric field, E = 2.50 N/C

Q: electron is "shot" at an angle of 40.0 with a velocity of 3.50 x 10^4 m/s from the ce Dx1.00 m plate…

A: Given values:- Angle inclined,(θ)=400 ----(1) Velocity,(v)=3.50 x 104 m/sec ----(2) Area,(A)= 1 m x…

Q: In a vacuum, a proton (charge = +e, mass = 1.67 × 10-27 kg) is moving parallel to a uniform electric…

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Q: Two point charges Q1 = Q2 = +2.3 μC are fixed symmetrically on the x-axis at x = ±0.308 m. A point…

A: Given data: Magnitude of charge Q1 and Q2 is Q1=Q2=2.3 μC. Magnitude of third charge is Q3=4.6 μC.…

Q: A particle (m = 70 mg, q = -5.0 µC) moves in a uniform electric field of 60 kN/C in the positive…

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Q: Two point charges Q1 = Q2 = +2.1 μC are fixed symmetrically on the x-axis at x = ±0.042 m. A point…

A: Q1 = Q2 = 2.1×10-6 C x = ±0.042 m Q3 = 4.4×10-6 C m = 1.9×10-5 kg y1 = 0.025 m y2 = 0.078 m distance…

Q: radius R=2.4 cm in radius contains a uniform distribution of charges, and the field The resulting…

A: Given data: The radius of the ring r=2.4 cm

Q: In a vacuum, a proton (charge = +e, mass = 1.67 x 10-27 kg) is moving parallel to a uniform electric…

A: Given values: Charge of proton, e=1.6×10-19 C Mass of proton, m=1.67×10-27 kg Initial velocity,…

Q: A particle (mass 6.7x 10 kg charge= +3.2 x 10" C) moves along the positive a speed of 48 x 10 m/s.…

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Q: A particle with a mass of 3.65×10−24 kg and a charge of 6.40×10−19 C starts at rest and is…

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Q: An electron with velocity v=2.0*10^6m/s directed along +y axis enters in region of uniform electric…

A: Given :      Velocity of the electron, u⇀ = 2×106  j^ m/s     Electric field, E⇀ = 8×103 j^ V/m 1)…

Q: An electric dipole in a uniform horizontal electric field of magnitude 2.5 x 105 N/C is currently at…

A: Because there are no losses and dipole starts with an angle θ on one side, it will move to an angle…

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.