In addition to their strong sense of smell, sharks are able to sense the location of...

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In addition to their strong sense of smell, sharks are able to sense the location of their prey by electroreception, the ability to sense electric fields. As fish swim in salt water, they obtain a net electric charge, which results in electric fields that the sharks can detect, even when the fields are as weak as 1 V/cm. To test the sensitivity of sharks to electric fields, R. Douglas Fields and coworkers lowered T-shaped electrodes into the water. The horizontal portion of one such electrode has length and contains a net charge of q uniformly distributed along its length. The vertical portion is nonconducting and is charge free. (a) What is the electric potential due to the electrode a distance z from its center along a line directed perpendicular to th electrode? (Use any variable or symbol stated above along with the following as necessary: k-) . V: In +4z +1 P+1 2 1 (b) What is the electric field due to the electrode at this distance? (Use any variable or symbol stated above along with th following as necessary: ke-) E = Z Z 72 2 1 22 +z (c) If 20.0 cm, what is the total charge q (in C) on the electrode that will yield an electric field of 1 V/cm at a distance z = 3.75 m from the center of the electrode? 1.036e-14 How can the expression found in the previous part of the problem be used to find the charge on the rod? C In addition to their strong sense of smell, sharks are able to sense the location of their prey by electroreception, the ability to sense electric fields. As fish swim in salt water, they obtain a net electric charge, which results in electric fields that the sharks can detect, even when the fields are as weak as 1 V/cm. To test the sensitivity of sharks to electric fields, R. Douglas Fields and coworkers lowered T-shaped electrodes into the water. The horizontal portion of one such electrode has length and contains a net charge of q uniformly distributed along its length. The vertical portion is nonconducting and is charge free. (a) What is the electric potential due to the electrode a distance z from its center along a line directed perpendicular to th electrode? (Use any variable or symbol stated above along with the following as necessary: k-) . V: In +4z +1 P+1 2 1 (b) What is the electric field due to the electrode at this distance? (Use any variable or symbol stated above along with th following as necessary: ke-) E = Z Z 72 2 1 22 +z (c) If 20.0 cm, what is the total charge q (in C) on the electrode that will yield an electric field of 1 V/cm at a distance z = 3.75 m from the center of the electrode? 1.036e-14 How can the expression found in the previous part of the problem be used to find the charge on the rod? C