In the Figure, a Small Particle of Charge -1 $10^{ - 6}$

question 106

Short Answer

In the figure, a small particle of charge -1.9 x $10^{ - 6}$ C and mass $m = 3.1 \times 10 ^ { - 12 } \mathrm {~kg}$ has speed $0 ^ { \prime } 0 = 8.1 \times 10 ^ { 3 } \mathrm {~m} / \mathrm { s }$ as it enters a region of uniform magnetic field. The particle is initially traveling perpendicular to the magnetic field and is observed to travel in the semicircular path shown with radius R = 5.0 cm. Find the magnitude and direction of the magnetic field in the region.

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Definitions:

Discrete Random Variable

A variable that can take on a countable number of different values, each with a certain probability, often used in statistical analysis.

Probability Histogram

A graphical representation of the distribution of a set of data, showing the probabilities or frequencies of occurrence of different outcomes.

Probability Z

A measure used in statistics that describes the number of standard deviations a data point is from the mean in a normal distribution.

Continuous Random Variable

A type of random variable that can take an infinite number of values within a given range.