266 ADVANCED ELECTRICITY AND MAGNETISM. 



13. A battery of which the resistance is equal to the value of 

 V L/C for a given transmission line is suddenly connected to one 

 end of the line. Describe what takes place (a) when the distant 

 end of the line is short-circuited, and (b) when the distant end of 

 the line is open. 



14. The 10,000 volt generator of problem 5 is connected to 

 the 1 8. 6 mile line of which the distant end is open. Plot a curve 

 showing the voltage across the middle of the line as a function 

 of elapsed time, generator being left connected to the line. 



15. Plot a curve showing the current at the middle of the line 

 in problem 14 as a function of elapsed time. 



1 6. Plot a curve showing voltage across the middle of the line 

 in problem 14 as a function of elapsed time, the distant end of 

 the line being short-circuited. 



17. Plot a curve showing the current in the line of problem 14 

 at a point 10 miles from the generator as a function of elapsed 

 time, the distant end of the line being short-circuited. 



18. Plot curves showing voltage and current at middle of line 

 of problem 14 as functions of elapsed time, the distant end of 

 the line being connected to a non-inductive circuit of which the 

 resistance is 1 ,826 ohms. 



19. Plot curves showing voltage and current at a point 10 

 miles from the generator in problem 14 as functions of elapsed 

 times, the distant end of the line being connected to a non- 

 inductive circuit of which the resistance is 16,431 ohms. 



20. A single-wire line with ground return has a wire 0.25 inch 

 in diameter hung 25 feet above the ground. What are the values 

 of the inductance per mile and the capacity per mile of this single- 

 wire line? Ans. 0.00274 henry per mile; 0.0105 microfarad per 

 mile. 



Note The inductance per mile of the single-wire line with ground return is 

 one-half the inductance per mile of a two-wire line consisting of wires 0.25 inch in 

 diameter and 50 feet apart center to center; and the capacity per mile of the 

 single-wire line is twice as great as the capacity per mile of the two-wire line as 

 specified. This is on the assumption that the surface of the earth is equivalent 

 to an infinite conducting sheet. 



