A particle with positive charge q moves with a velocity v = (51 + 2ĵ-k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. Let B = (31 + 5j + k) T and E = (Ei + E + Ek) V/m. For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for each component.) Ex = X V/m X V/m V/m E₂ = 7 10

Define the electric field of a single charge and the magnetic force acting on a moving electric charge using the definitions and formulas in the photos.

A (8.42x10^-1)-m radius cylindrical region contains a uniform electric field along the cylinder axis. It is increasing uniformly with time. What is the rate of change (magnitude) of the electric field required to obtain a total displacement current of (2.047x10^0) nA through a cross section of the region? Provide your answer in V/(m.s) with three significant figures.

L. B A positively charged particle is tied by a massless string and allowed to move on a smooth plane, as shown in the picture. A uniform magnetic field B = 1 T is applied perpendicular to the plane pointing down. The length of the string is L = 25 cm. The mass of the particle is m = 35 kg. The charge on this particle is q = 0.65 C. The velocity of the motion is a constant v = observing from above the plane. You can ignore friction. %3D 0.1392 m/s, in the clockwise direction when At a speed of v = 0.1392 m/s, how much is the Lorentz force (i.e. magnetic force) on the particle? (in units of Newton) Submit Answer fries 0/2 To maitain the circular motion at this speed with a radius L, the net force Fnet on the particle is pointing to the center O. How much is Fnet? (in units of Newton) Submit Answer Tries 0/2 It is strongly recommended that you draw a free body diagram to answer the next two parts of the problem. How much is the tension in the string? (in units of Newton) Submit Answer…

Can you help with part B, D and E?

A particle is launched from the origin on the ground with an initial velocityv = (2.40 m/s) x+ (2.00 m/s) y. The particle falls freely under earth’sgravitational field.a. Find the angle at which the particle is launched at origin. (angle made topositive x axis).b. How far does the particle move in the x direction?c. What is the particle’s velocity at this time?d. How long it stays in the air

Let v the velocity of a particle in a constant magnetic field B. We wish to decompose v into v = v⊥ + vk where v⊥ is perpendicular to the magnetic field and vk is parallel to it. Derive vector expressions for v⊥ and vk in terms of v and B.

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