Questions from Electronics

Q: Using the definitions in Eqs. 1.1 and 1.

Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross product are distributive, a) when the three vectors are coplanar;! b) in the general case.

Q: (a) How do the components of a vector5 transform under

(a) How do the components of a vector5 transform under a translation of coordinates / (b) How do the components of a vector transform under an inversion of coordinates / (c) How do the components...

Q: Two large metal plates (each of area A) are held

Two large metal plates (each of area A) are held a small distance d apart. Suppose we put a charge Q on each plate; what is the electrostatic pressure on the plates?

Q: A metal sphere of radius R carries a total charge Q.

A metal sphere of radius R carries a total charge Q. What is the force of repulsion between the “northern” hemisphere and the “southern” hemisphere?

Q: Find the capacitance per unit length of two coaxial metal cylindrical tubes

Find the capacitance per unit length of two coaxial metal cylindrical tubes, of radii a and b (Fig. 2.53).

Q: Suppose the plates of a parallel-plate capacitor move closer together

Suppose the plates of a parallel-plate capacitor move closer together by an infinitesimal distance ε as a result of their mutual attraction. (a) Use Eq. 2.52 to express the work done by electrostatic f...

Q: Find the electric field at a height z above the center of

Find the electric field at a height z above the center of a square sheet (side a) carrying a uniform surface charge σ. Check your result for the limiting cases a â†...

Q: If the electric field in some region is given (in spherical

If the electric field in some region is given (in spherical coordinates) by the expression for some constant k, what is the charge density? /

Q: Find the net force that the southern hemisphere of a uniformly charged

Find the net force that the southern hemisphere of a uniformly charged solid sphere exerts on the northern hemisphere. Express your answer in terms of the radius R and the total charge Q. /

Q: An inverted hemispherical bowl of radius R carries a uniform surface charge

An inverted hemispherical bowl of radius R carries a uniform surface charge density σ. Find the potential difference between the “north pole” and the cen...