8 resistors (orange color) are connected to form a regular octagon. 8 more resistors (blue color) connect the vertices of the octagon to its center. All the 16 resistors are of resistance .
If the connecting wires have negligible resistance, calculate the equivalent resistance (in ohms, rounded to the nearest integer) between the terminals and .
You are given a disk of thickness with inner and outer radii and , respectively. If the resistivity of the disk varies as , where is the polar angle, find the resistance between the points and .
Give your answer to 3 decimal places.
Details and Assumptions:
In the circuit above, wire has length and resistance per unit length . The voltmeter is ideal.
If we want to make the reading in the voltmeter vary with time as then what should be the velocity of the contact (the arrow-tipped end of the wire above) as a function of time?
If the velocity can be expressed as where , then enter the value of .
A useless wire having a total resistance of is cut into 48 equal pieces. Then, a regular Deltoidal Icositetrahedron as shown below.
If the equivalent resistance between two opposite points, where four edges meet together is , then enter your answer as the value of .
The DC circuit above consists of two voltage sources and with internal resistances and respectively. There is a load connected in parallel with the sources.
and are variable quantities.
Let , , and be the amounts of power in watts dissipated by , , and respectively.
Given that watts, determine the minimum possible value of to 1 decimal place.