(non-conducting, of course) spherical shell has radiusaand is centered onthe origin. the upper half (z > 0 orθ < π2) has a chargequniformly distributed on itssurface, and the lower half has a charge−quniformly distributed on its surface. find thepotential both inside and outside the sphere, up to fifth order in cosθ. hint: think aboutthe symmetry of the boundary conditions here with respect to the ‘equator’ (θ=π/2) –can you rule out any legendre polynomials from appearing in your solution?

(2) (a) you have a simple circuit that consists of only a battery (δvbat=1.5v) and two resistors with resistance r1=10ω and r2=5ω, connected in series with each other. what is the current running through the battery? (b) you re-arrange your circuit so now r2 is attached in parallel to r1 rather than in series. what is the current running through the battery? (c) you add an additional resistor r3=7ω on the same branch as r2. what is the current running through the battery? (d) what is the power dissipated in r3?

Use vsepr theory to predict the molecular geometry of the molecule hcn.

Which type of heating system is used to heat many buildings from a central location?