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Chapter 4: Q19DQ (page 981)

Match the mathematical statements of Maxwell鈥檚 equations as given in Section 29.7 to these verbal statements. (a) Closed electric field lines are evidently produced only by changing magnetic flux. (b) Closed magnetic field lines are produced both by the motion of electric charge and by changing electric flux. (c) Electric field lines can start on positive charges and end on negative charges. (d) Evidently, there are no magnetic monopoles on which to start and end magnetic field lines.

Short Answer

Expert verified

(a)

(b)

(c)

(d)

Step by step solution

01

Step 1:

  1. Maxwell's equation (29.22) provides another definition of Faraday's law, which is stated as:

02

Step 2:

  1. This is a general version of Ampere's law, as described by Maxwell鈥檚 equation (29.21):

03

Step 3:

  1. This statement pertains to Gauss's law, and the equivalent of Maxwell's equation is (29.18), which is written as follows:
04

Step 4:

  1. This statement is about Gauss's law for magnetic fields, and the equivalent of Maxwell's equation is (29.19), which is written as:

Hence, the Maxwell鈥檚 equation for each statement:

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