Specialized Subjects
15:00-17:30, Monday, August 21, 2017
Instructions
1. Do not open this booklet before the examination begins.
2. This booklet contains five problems. The number of pages is seven excluding this cover sheet and
blank pages. If you find missing or badly printed pages, ask the proctor for exchange.
3. Answer three problems. You can select any three out of the five. Your answer to each problem
should be written on a separate sheet. You may use the reverse side of the sheet if necessary.
Fill the top parts of your three answer sheets as instructed below. Before submitting your answer
sheets, make sure that the top parts are correctly filled.
+ Write the problem No.
+ Write the examine No.
5. Submit all the three answer sheets with the examine number and the problem number, even if
your answer is blank.
Answer either in Japanese or in English.
7. This booklet and the scratch paper must be returned at the end of the examination.
8. This English translation is supplemental and provided for convenience of applicants. The Japanese
version is the formal one.
(1) Consider a power supply e(t) which is a rectangular pulse with time duration T as shown
in Fig. 1. Obtain the Laplace transform of e(t).
(otherwise)
(2) Obtain the current it) when the power supply e(t) is applied to the circuit consisting of
a resistor (resistance R) and a capacitor (capacitance C) shown in Fig. 2 under each of
the following conditions (a) and (b). The initial charge of the capacitor is set to O. The
time constant of the circuit is not negligible compared to T
(b) T