Charge over a non-conducting ring is distributed so that the linear charge density varies as -0 sin- What is direction of force on a charge q0 placed at the center-

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Standard XII

Physics

Finding Average Velocity

Charge over a...

Question

Charge over a non-conducting ring is distributed so that the linear charge density varies as $λ = λ_{0} s i n θ$ . What is direction of force on a charge $q_{0}$ placed at the center?

Positive Y-axis if

q_{0}

is negative

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Positive Y-axis if

q_{0}

is positive

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Negative Y-axis if

q_{0}

is negative

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Negative Y-axis if

q_{0}

is positive

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Solution

The correct options are
A Positive Y-axis if $q_{0}$ is negative
D Negative Y-axis if $q_{0}$ is positive
From $θ = 0^{o}$ to $θ = 180^{o}$ , charge in the ring is positive because the value of $s i n θ$ is positive. Charge on the ring will be negative from $θ = 180^{o}$ to $θ = 360^{o}$ . Force will always be along Y axis.

Suggest Corrections

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Charge over a non-conducting ring is distributed so that the linear charge density varies as λ=λ0sinθ. What is direction of force on a charge q0 placed at the center?

The correct options are A Positive Y-axis if q0 is negative D Negative Y-axis if q0 is positiveFrom θ=0o to θ=180o, charge in the ring is positive because the value of sinθ is positive. Charge on the ring will be negative from θ=180o to θ=360o. Force will always be along Y axis.

Charge over a non-conducting ring is distributed so that the linear charge density varies as $λ = λ_{0} s i n θ$ . What is direction of force on a charge $q_{0}$ placed at the center?