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- Two point charges, q1=2.0107C and q2=6.0108C , are held 25.0 cm apart. (a) What is the electric field at a point 5.0 cm from the negative charge and along the line between the two charges? (b)What is the force on an electron placed at that point?The circular are shown below carries a charge per unit length =0 cos . Where is measured from the x-axis. What is the electric field at the origin?Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.
- The charge per unit length on the thin rod shown below is . What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq=dx . Then find the net field by integrating dE over the length of the rod.)Point charges q1=50C and q2=25C are placed 1.0 m apart. (a) What is the electric field at a point midway between them? (b) What is the force on a charge q3=20C situated there?A negative charge is placed at center of a ring of uniform positive charge. What is the motion (if any) of the charge? What if the charge placed at a point on the axis of the ring other than the center?
- A particle of charge 2.0108C experiences an upward force of magnitude 4.0106N when it is placed in a particular point in an electric field. (a) What is the electric field at that point? (b) If a charge q=1.0108C is placed there, what is the force on it?A point charge of q=5.0108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric field at (a) r=4.0 cm, (b) r=8.0 cm, and (c) r=12.0 cm. (d) What are charges induced on the inner and outer surfaces of the shell?A non-conducting spherical shell of inner radius a1 and outer radius b1 is uniformly charged with charged density p1 inside another non-conducting spherical shell of inner radius a2 and outer radius b2 that is also uniformly charged with charge density p2 . See below. Find the electric field at space point P at a distance r from the common center such that (a) rb2 (b) a2rb2 , (c) b1ra2 , (d) a1rb1 , and (e) ra1 .
- What is the electric field at the midpoint M of the hypotenuse of the triangle shown below?Consider an electron that is 1010 m from an alpha particle (q=3.21019C) . (a) What is the electric field due to the alpha particle at the location of the electron? (b) What is the electric field due to the electron at the location of the alpha particle? (c) What is the electric force on the alpha particle? On the electron?An atomic nucleus contains positively charged protons and uncharged neutrons. Since nuclei do stay together, what must we conclude about the forces these nuclear particles?