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Magazine Chapter 14: Q54P (page 584)
(a)The positively charged particle shown in diagram 1 in Figure 14.94 creates an electric field \({{\bf{\vec E}}_{\bf{p}}}\) at location A. Which of the arrows (a鈥�j) in Figure 14.94 best indicates the direction of \({{\bf{\vec E}}_{\bf{p}}}\) at location A?
(b)Now a block of metal is placed in the location shown in diagram 2 in Figure 14.94. Which of the arrows (a鈥�j) in Figure 14.94 best indicates the direction of the electric field \({{\bf{\vec E}}_{\bf{m}}}\) at location Adue only to the charges in and/or on the metal block?
(c)\(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is greater than \(\left| {{{{\bf{\vec E}}}_{\bf{m}}}} \right|\). With the metal block still in place, which of the arrows (a鈥�j) in Figure 14.94 best indicates the direction of the net electric field at location A?
(d)With the metal block still in place, which of the following statements about the magnitude of \({{\bf{\vec E}}_{\bf{p}}}\), the field due only to the charged particle, is correct?
(1) \(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is less than it was originally, because the block is in the way.
(2) \(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is the same as it was originally, without the block.
(3) \(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is zero, because the electric field due to the particle can鈥檛 go through the block.
(e)With the metal block still in place, how does the magnitude of\({{\bf{\vec E}}_{{\bf{net}}}}\) at location Acompare to the magnitude of \({{\bf{\vec E}}_{\bf{p}}}\)?
(f)Which of the arrows (a鈥�j) in Figure 14.94 best indicates the direction of the net electric field at the center of the metal block (inside the metal)?
Short Answer
(a) The direction of \({{\bf{\vec E}}_{\bf{p}}}\)at location A is best indicated by arrow'c'.
(b) The direction of\({{\bf{\vec E}}_{\bf{m}}}\)at location A is best indicated by arrow'c'.
(c) The direction of the net electric field at location A is best indicated by arrow'c'.
(d) (2)\(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is the same as it was originally, without the block.
(e) Magnitude of\({{\bf{\vec E}}_{{\bf{net}}}}\) at location Ais greater than the magnitude of\({{\bf{\vec E}}_{\bf{p}}}\).
(f) The direction of the net electric field at the center of the metal block is best indicated by 'j'.
Step by step solution
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