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Electric Fields

Electric fields describe the interaction of stationary charged matter. They underlie the working of diverse technology from atom smashers to the poor cell reception you're getting right now.

Electric Fields Are Conservative

         

A constant electric field \( E = 5 \text{ V/m} \) exists, as depicted in the above figure. A \( Q= 5 \times 10^{-3} \text{ C} \) charge of mass \( m = 4 \text{ g}, \) initially at rest at \( x_a = - 1 \text { m}, \) is released. What is its approximate speed at \( x_b = 2 \text{ m}? \)

A charge of \( q = 4.0 \text{ C}, \) initially away from a fixed point charge of \( 1.0 \text{ nC} \) by a distance of \( r_1 = 7.0 \text{ m}, \) moves closer to a point where the distance is \(r_2= 1.0 \text{ m}. \) What is the approximate work done to the charge?

Assume that electric constant is \( \epsilon_0 = 8.9 \times 10^{-12} \text{ F/m}. \)

Two identical charges with charge \( q= 4 \times 10^{-4} \text{ C} \) and mass \( m = 3 \text{ g} \) are fixed \( r =1.2 \text{ cm} \) apart. Another identical charge is shot from infinity and stops midway between the two. What is its approximate initial speed?

Assume that electric constant is \( \epsilon_0 = 8.9 \times 10^{-12} \text{ F/m}. \)

A charge of \( - 3.0 \times 10^{-3} \text{ C} \) is moved through a potential difference of \( 3.0 \text{ V}. \) Calculate the work done on the charge.

A \( V_b = 12 \text{ V} \) battery is connected to two parallel plates separated by a distance of \( d_p = 6 \text{ cm}. \) This creates a uniform electric field between the two plates. If a point charge \( Q = 5 \text{ C} \) is put in the middle between the plates, what is the kinetic energy of the charge when it touches the plates?

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