1. A spherical Gaussian surface surrounds a point charge (q), if the radius of the sphere is doubled, the total flux through that surface will be: O Reduced by () relationship, because a reduced number of electric field lines from the charge pass through the sphere. O Does not change because all electric field lines from the charge pass through the sphere, regardless of its radius. O Does not change because the electric field lines density do not change as they pass from charge through the sphere. O The flux is zero. 2. If the electric potential is known as a function of coordinates x, y and z, we can obtain the components of the electric field by: Taking the partial derivative of the electric potential with respect to the coordinates. Taking the negative partial derivative of the electric field with respect to the coordinates. Taking the divergence of the potential with respect to the coordinates. Taking the negative of the divergence of the potential with respect to the coordinates 3. If the potential difference between the capacitor's plates is doubled, the magnitude of the charge on each plate becomes: Four times larger Two times larger. The total charge is unchanged One-Fourth as large At three times the distance from a point charge, the strength of the electrostatic field is Nine Times its original value. Three Times its original value, O One - Third its original value. One-Ninth its original value,

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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1. A spherical Gaussian surface surrounds a point charge (q), if the radius of the sphere is
doubled, the total flux through that surface will be:
O Reduced by () relationship, because a reduced number of electric field lines from the
charge pass through the sphere.
O
Does not change because all electric field lines from the charge pass through the sphere,
regardless of its radius.
Does not change because the electric field lines density do not change as they pass from
charge through the sphere.
The flux is zero.
2. If the electric potential is known as a function of coordinates x, y and z, we can obtain the
components of the electric field by:
Taking the partial derivative of the electric potential with respect to the coordinates.
Taking the negative partial derivative of the electric field with respect to the coordinates.
Taking the divergence of the potential with respect to the coordinates.
Taking the negative of the divergence of the potential with respect to the coordinates
If the potential difference between the capacitor's plates is doubled, the magnitude of the
charge on each plate becomes:
Four times larger
Two times larger
The total charge is unchanged
One-Fourth as large
4. At three times the distance from a point charge, the strength of the electrostatic field is
Nine Times its original value.
One - Third its original value.
One-Ninth its original value,
Three Times its original value,
Transcribed Image Text:1. A spherical Gaussian surface surrounds a point charge (q), if the radius of the sphere is doubled, the total flux through that surface will be: O Reduced by () relationship, because a reduced number of electric field lines from the charge pass through the sphere. O Does not change because all electric field lines from the charge pass through the sphere, regardless of its radius. Does not change because the electric field lines density do not change as they pass from charge through the sphere. The flux is zero. 2. If the electric potential is known as a function of coordinates x, y and z, we can obtain the components of the electric field by: Taking the partial derivative of the electric potential with respect to the coordinates. Taking the negative partial derivative of the electric field with respect to the coordinates. Taking the divergence of the potential with respect to the coordinates. Taking the negative of the divergence of the potential with respect to the coordinates If the potential difference between the capacitor's plates is doubled, the magnitude of the charge on each plate becomes: Four times larger Two times larger The total charge is unchanged One-Fourth as large 4. At three times the distance from a point charge, the strength of the electrostatic field is Nine Times its original value. One - Third its original value. One-Ninth its original value, Three Times its original value,
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