QCEVault

Electromagnetism — Question 170

Original QCE Vault practice · 6 marks

Q170 · Practice questionComplex unfamiliar6 marks

QUESTION 170 (6 marks)

Protons enter a velocity selector moving right. A uniform electric field of 2.40×103 N C−12.40\times10^3\,\mathrm{N\,C^{-1}} points down the page; a magnetic field of 0.0200 T0.0200\,\mathrm T points into the page. Protons that pass straight enter a second region with only a 0.0300 T0.0300\,\mathrm T magnetic field into the page. Use q=1.60×10−19 Cq=1.60\times10^{-19}\,\mathrm C and m=1.6726219×10−27 kgm=1.6726219\times10^{-27}\,\mathrm{kg}. Ignore gravity.
A rightward proton beam enters a selector with a positive top plate and negative bottom plate, downward electric-field arrows and into-page magnetic-field crosses. A separate region to its right has only an into-page magnetic field. Not to scale.
a)
Determine the selected speed and explain the force balance.
[3 marks]
b)
Determine the radius of the path in the second region and the initial direction of deflection.
[3 marks]
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