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Katena32 [7]
3 years ago
15

Two long, straight, parallel wires of length 3.7 m carry parallel currents of 3.6 A and 1.6 A. (a) If the wires are separated by

a distance of 3.1 cm, what is the magnitude of the force between the two wires
Physics
1 answer:
Andrew [12]3 years ago
8 0

Answer:

|F|=1.37\times 10^{-4}\ N

Explanation:

Given:

Length of the parallel wires (L) = 3.7 m

Current in the first wire (I₁) = 3.6 A

Current in the second wire (I₂) = 1.6 A

Separation between the parallel wires (d) = 3.1 cm = 0.031 m  [1 cm = 0.01 m]

Both the wires will attract each with forces equal in magnitude and opposite in direction.

Now, the magnitude of the force acting between the two wires is given as:

|F|=\frac{\mu_0I_1I_2L}{2\pi d}

Where, \mu_0\to permeability\ constant=4\pi \times 10^{-7}\ N/A^2

Plug in the given values and solve for |F|. This gives,

|F|=\frac{(4\pi\times 10^{-7}\ N/A^2)(3.6\ A)(1.6\ A)(3.7\ m)}{2\pi\times 0.031\ m}\\\\|F|=1.37\times 10^{-4}\ N

Therefore, the magnitude of the force between the two wires is |F|=1.37\times 10^{-4}\ N

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Legacy issues $570,000 of 8.5%, four-year bonds dated January 1, 2019, that pay interest semiannually on June 30 and December 31
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Par value at maturity:                 $570,000    

Total repaid:                                   $763800 (193,800 + 570,000)  

Less amount borrowed:         $508050    

Total bond interest expense: $255750 (763800 - 508,050)

2)Prepare a straight-line amortization table for the bonds' first two years.

Semiannual Interest Period­ End; Unamortized Discount; Carrying Value

01/01/2019                                      61,950                           508,050  

06/30/2019                                      54,206                          515,794  

12/31/2019                                       46,462                         523,538  

06/30/2020                                       38,718                        531,282  

12/31/2020                                         30,974                          539,026

3) Record the interest payment and amortization on June 30:

June 30            Bond interest expense, dr                         31969  

                       Discount on bonds payable, Cr     (61950/8)  7743.75

                                        Cash, Cr                     ( 570000*8.5%/2)  24225  

4) Record the interest payment and amortization on December 31:

Dec 31                 Bond interest expense, Dr               31969  

                           Discount on bonds payable, Cr  7744  

                                    Cash, Cr                                24225

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