Hyperthermia is one of the modalities for cancer treatment.In the procedure,the magnetic nanoparticles are injected at the tumor site which is then exposed to radio frequency electromagnetic waves.The radio frequency waves induce oscillations among the magnetic nanoparticles causing their temperature to rise.A modest increase in the temperature at the tumor site (about106 $\circ$ F)can kill cancer cells.A solenoid is one of the components used for producing the radio frequency waves.The number of turns of copper wire needed to construct a 10-cm long,6-cm radius,and 5-mH inductance solenoid are

Question

Quizplus · Accepted Answer

The formula for inductance of a solenoid is L = (μ₀n²πr²l)/d, where μ₀ is the permeability of free space (4π × 10⁻⁷ H/m), n is the number of turns of wire, r is the radius of the solenoid, l is the length of solenoid, and d is the diameter of the wire used.
Rearranging the formula, we get n = √((Ld)/(μ₀πr²l))
Plugging in the given values, we get n = √((5×10⁻³×0.15)/(4π×10⁻⁷×0.06²×0.1)) ≈ 187.76 ≈ 188 turns (rounded to the nearest whole number).
Therefore, the best choice is A) 188.

Hyperthermia Is One of the Modalities for Cancer Treatment ∘\circ∘ F)can Kill Cancer Cells

Hyperthermia Is One of the Modalities for Cancer Treatment $\circ$ F)can Kill Cancer Cells