Answer:
Explanation:
We have series and parallel combination of two resisters and
.
Series combination is
and Parallel is
Now dividing series equivalent resistance by parallel resistance gives us
.
Note! series Combination is simply superposition of two elements (resisters in this case ) in a circuit.
Answer:
Explanation:
we can consider an element of radius r < a and thickness dr. and Area of this element is
since current density is given
then , current through this element will be,
integrating on both sides between the appropriate limits,
Magnetic field can be found by using Ampere's law
for points inside the wire ( r<a)
now, consider a point at a distance 'r' from the center of wire. The appropriate Amperian loop is a circle of radius r.
by applying the Ampere's law, we can write
by symmetry will be of uniform magnitude on this loop and it's direction will be tangential to the loop.
Hence,
now using equation 1, putting the value of k,
B)
now, for points outside the wire ( r>a)
consider a point at a distance 'r' from the center of wire. The appropriate Amperian loop is a circle of radius l.
applying the Ampere's law
by symmetry will be of uniform magnitude on this loop and it's direction will be tangential to the loop. Hence
again using,equaiton 1,