Ametal sphere with radius ra = 1.10 cm is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb = 9.70 cm . charge +q is put on the inner sphere and charge −q on the outer spherical shell. the magnitude of q is chosen to make the potential difference between the spheres 420 v , with the inner sphere at higher potential. part a calculate q. qq = part b are the electric field lines and equipotential surfaces mutually perpendicular?

Part a)

Part b)

Yes, equipotential surface is always perpendicular to electric field lines

Explanation:

Potential of inner sphere is given as

Potential of outer sphere is given as

Now we know that

Now by solving above equation for charge "q"

Part b)

As we know that

so here if we need to find the condition of equipotential surface

then we can say

so electric field must be perpendicular to the surface

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

the answer is a. the yacht traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.

im doing peak rn so sry if its wrong