A system consists of two concentric coils of radii **a=1m** and **b=5m**, **b>a**. The coil with radius **a** has **2000** windings and coil with radius **b** has **1000** windings. Time varying currents are passed through the coils. **I=20t** passes through coil with radius **b** and **i=40t** passes through coil with radius **a**. An electron is placed between the coils. Find the distance, **R** from the centre such that it performs circular motion without changing its radius.
### This problem is of this set.

**Use SI units**

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