AP EAMCET201824 Apr 2018Morning ShiftPhysicsMagnetic Effects of CurrentActual
Two circular loops of diameters 0.6 ~cm and 40 ~cm are kept coaxially with a separation of 15 ~cm between their centres. If a current 2 ~A flows through the smaller loop, then the flux linked with the bigger loop is (approximately)
Options
- A9 10⁻¹¹ ~Wb
- B0.9 10⁻¹¹ ~Wb
- C1.8 10⁻¹¹ ~Wb
- D0.42 10⁻¹¹ ~Wb
Correct answer
D. 0.42 10⁻¹¹ ~Wb
Step-by-step solution
(None of the option is matching) Magnetic field intensity due to small loop at location of larger loop is B₁= ₀ I r^2 2 x^3 = 4 10⁻⁷ 2 (0.3 10⁻² )^2 2 (15 10⁻² )^3 = 36 15^3 10⁻⁹ ~T Flux linked with larger loop is aligned ₂=B₁ A₂= & 86 15^3 10⁻¹⁹ (20 10⁻² )^2 & = 36 ^2 15^3 4 10⁻¹¹=0.42 10⁻¹¹ ~Wb aligned