Chapter 31: Q. 29 (page 902)

What is the force (magnitude and direction) on the proton in FIGURE P31.29? Give the direction as an angle $CW$ or $cCW$ from vertical.

Short Answer

Expert verified

The force, $F_{B} = 1.6 \times 10^{- 13} N$

The force, $F_{e} = 1.6 \times 10^{- 13} N$

The net force, $F_{n e t} = 2.26 \times 10^{- 13} N$

Step by step solution

Find the direction of electrostatic force.

With in presence of an electric field, there is an electrostatic force called $F_{E}$ .

Find FB, Fe, Fnet

The magnetic force flows north and use the right - hand principle.

Calculate $F_{B}$

localid="1648970948872" $\begin{aligned} F_{B} = q v B \end{aligned}$

$F_{B} = 1.6 \times 10^{- 19} \times 10^{7} \times 0.1$ ( enter the quantities in the formula)

$F_{B} = 1.6 \times 10^{- 13} N$

Calculate localid="1648971852105" $F_{e}$

localid="1648971000005" $F_{e} = e E$

$F_{e} = 1.6 \times 10^{- 19} \times 10^{- 6}$ ( enter the quantities in the formula)

$F_{e} = 1.6 \times 10^{- 13} N$

Calculate $F_{n e t}$

localid="1648971062338" $F_{n e t} = \sqrt{F_{B}^{2} + F_{e}^{2}}$

$F_{n e t} = \sqrt{2} \times F_{B}$

$F_{n e t} = \sqrt{2} \times 1.6 \times 10^{- 13}$ ( enter the quantities in the formula)

$F_{n e t} = 2.26 \times 10^{- 13} N$

Find direction and θ

To find the direction and $θ$

$\tan θ = \frac{F_{B}}{F_{e}}$

$\tan θ = \frac{1.6 \times 10^{- 13}}{1.6 \times 10^{- 13}}$ ( enter the quantities in the formula)

$\tan θ = 1 \Rightarrow θ = 45^{\circ}$

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What is the force (magnitude and direction) on the proton in FIGURE P31.29? Give the direction as an angle $CW$ or $cCW$ from vertical.

Short Answer

Step by step solution

Find the direction of electrostatic force.

Find FB, Fe, Fnet

Find direction and θ

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What is the force (magnitude and direction) on the proton in FIGURE P31.29? Give the direction as an angle CWor cCWfrom vertical.

Short Answer

Step by step solution

Find the direction of electrostatic force.

Find FB, Fe, Fnet

Find direction and θ

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electromagnetism

Further Mechanics and Thermal Physics

Work Energy and Power

Torque and Rotational Motion

Medical Physics

Mechanics and Materials

Study anywhere. Anytime. Across all devices.

What is the force (magnitude and direction) on the proton in FIGURE P31.29? Give the direction as an angle $CW$ or $cCW$ from vertical.