Answer:
0.075 ohm
Step-by-step explanation:
= maximum value of the current
= value of the current after time "t = 0.35 s" = 0.65
= resistance of the resistor = ?
= Inductance of the inductor = 25 mH = 0.025 H
= Time constant of the circuit
Current at any time is given as
![i = i_(o)(1 - e^{(-t)/(T)})](https://img.qammunity.org/2020/formulas/physics/college/mwi6p0o161ifozjmqic554whfdrw21yiv3.png)
![(0.65) i_(o) = i_(o)(1 - e^{(-0.35)/(T)})](https://img.qammunity.org/2020/formulas/physics/college/9fx21hoe3f7c9rvufh6jakbp769d0xdc8x.png)
![(0.65) = (1 - e^{(-0.35)/(T)})](https://img.qammunity.org/2020/formulas/physics/college/deso12fe84nzmnqnvgyigcklqaa3zdjjvw.png)
sec
Time constant is given as
![T = (L)/(R)](https://img.qammunity.org/2020/formulas/physics/college/qsobm0mfbnyo74h9d5glfwra2nnz2ib53f.png)
![0.333 = (0.025)/(R)](https://img.qammunity.org/2020/formulas/physics/college/e4k2838e5wb8sowvb5xlz3l8rpfncqhil0.png)
ohm