91Ó°ÊÓ

Resistance is a measurement of the resistance to current flow in an electrical circuit. Resistance in ohms is denoted by the Greek letter omega\(\left( \Omega \right)\). Ohms are named after Georg Simon Ohm\(\left( {1784 - 1854} \right)\), a German scientist who studied the relationship between voltage, current, and resistance.

• Inductance of the magnet:\(50.0{\rm{ }}H\)
• The time constant value: \(1.00{\rm{ }}s\)

In\(RL\)systems, the time constant is given as

\(\tau = \frac{L}{R}\)

Thismeansthatgivenatimeconstantandinductance,thevalueoftheresistorinthe

system may be calculated as follows:

\(R = \frac{L}{\tau }\)

Numerically, in our case, we will have

\(\begin{array}{c}R = \frac{{50}}{1}\\ = 50\Omega \end{array}\)

Therefore, the required solution is \(50\Omega \).