Question

The energy absorbed by the BOX in Fig. P1.19 is shown in the graph below. Calculate and sketch the current flowing into the BOX between 0 and 10 milliseconds.
 11eb71f4_988e_3edd_b53a_570be8bc202d_SM4993_00 
 11eb71f4_988e_3ede_b53a_cf28a2f59115_SM4993_00 
Figure P1.19

Accepted Answer

Consider the graph given in Figure P1.19 in the textbook.
For the considered graph, the slope of the curve between the energy 
 11eb71f4_988e_8cff_b53a_d5fcfeb17242_SM4993_11 and time 
 11eb71f4_988e_8d00_b53a_a51f53fc7e39_SM4993_11 can be calculated as follows:
 11eb71f4_988e_b411_b53a_ada588120286_SM4993_11 The power 
 11eb71f4_988e_b412_b53a_6b97eb56ae23_SM4993_11 absorbed can be calculate by using equation 1.3 in the text book having voltage 
 11eb71f4_988e_db23_b53a_ab988c3829a4_SM4993_11 and current 
 11eb71f4_988e_db24_b53a_6142613aafd0_SM4993_11 as follows:
 11eb71f4_988e_db25_b53a_1b294ed1080b_SM4993_11 11eb71f4_988f_0236_b53a_bb5b0902d9fa_SM4993_11 …… (1)
Calculate the slope of the line in between the time period of 
 11eb71f4_988f_0237_b53a_7bc5a26e5a68_SM4993_11 as follows:
 11eb71f4_988f_2948_b53a_bddde99be697_SM4993_00 From equation (1) the value of current 
 11eb71f4_988f_2949_b53a_b5db5c20d5cf_SM4993_11 is given as follows:
 11eb71f4_988f_294a_b53a_b356118fe084_SM4993_00 Therefore, for time period of 
 11eb71f4_988f_505b_b53a_b780917e3745_SM4993_11 the current flowing into the BOX is 
 11eb71f4_988f_505c_b53a_3dbe64e8fbaa_SM4993_11 .
Calculate the slope of the line in between the time period of 
 11eb71f4_988f_505d_b53a_53843cc769c1_SM4993_11 as follows:
 11eb71f4_988f_776e_b53a_cffe954e9b39_SM4993_11 From equation (1) the value of current 
 11eb71f4_988f_776f_b53a_13c196c8384e_SM4993_11 is given as follows:
 11eb71f4_988f_7770_b53a_d3b6f8ff08d2_SM4993_11 Therefore, for time period of 
 11eb71f4_988f_7771_b53a_7d92a5f2ead4_SM4993_11 the current flowing into the BOX is 
 11eb71f4_988f_9e82_b53a_69f4c08112d1_SM4993_11 .
Calculate the slope of the line in between the time period of 
 11eb71f4_988f_9e83_b53a_c51816938285_SM4993_00 as follows:
 11eb71f4_988f_9e84_b53a_5d3f39092580_SM4993_00 From equation (1) the value of current 
 11eb71f4_988f_c595_b53a_a15bb91beb3a_SM4993_11 is given as follows:
 11eb71f4_988f_c596_b53a_93e7d1cf0b5e_SM4993_00 Therefore, for time period of 
 11eb71f4_988f_eca7_b53a_0b2d34d51205_SM4993_11 the current flowing into the BOX is 
 11eb71f4_988f_eca8_b53a_736af7859bdf_SM4993_11 .
Calculate the slope of the line in between the time period of 
 11eb71f4_9890_13b9_b53a_db1e1ed979d0_SM4993_00 as follows:
 11eb71f4_9890_13ba_b53a_ab7371b72177_SM4993_00 From equation (1) the value of current 
 11eb71f4_9890_13bb_b53a_01cec86cea41_SM4993_11 is given as follows:
 11eb71f4_9890_3acc_b53a_4377294c200f_SM4993_00 Therefore, for time period of 
 11eb71f4_9890_3acd_b53a_b37e318a426f_SM4993_11 the current flowing into the BOX is 
 11eb71f4_9890_61de_b53a_2d0998e01276_SM4993_11 .
Calculate the slope of the line in between the time period of 
 11eb71f4_9890_61df_b53a_b59387a4b1b0_SM4993_11 as follows: 
 11eb71f4_9890_61e0_b53a_9ba44a403fb6_SM4993_00 From equation (1) the value of current 
 11eb71f4_9890_88f1_b53a_95a7162be82c_SM4993_11 is given as follows:
 11eb71f4_9890_88f2_b53a_592a0172e903_SM4993_00 Therefore, for time period of 
 11eb71f4_9890_88f3_b53a_93c0e61ebdf6_SM4993_11 the current flowing into the BOX is 
 11eb71f4_9890_88f4_b53a_2baa915670e7_SM4993_11 .
Calculate the slope of the line in between the time period of 
 11eb71f4_9890_b005_b53a_67ea714333c0_SM4993_11 as follows:
 11eb71f4_9890_b006_b53a_c1908487d5c4_SM4993_00 From equation (1) the value of current 
 11eb71f4_9890_b007_b53a_6706f14ee86c_SM4993_11 is given as follows:
 11eb71f4_9890_d718_b53a_17e6da44a47c_SM4993_00 Therefore, for time period of 
 11eb71f4_9890_d719_b53a_49c64a6315e3_SM4993_11 the current flowing into the BOX is 
 11eb71f4_9890_d71a_b53a_09fbe57cd575_SM4993_11 .
Calculate the slope of the line in between the time period of 
 11eb71f4_9890_d71b_b53a_37ad47888ae3_SM4993_11 as follows:
 11eb71f4_9890_fe2c_b53a_1dc47341a3aa_SM4993_00 From equation (1) the value of current 
 11eb71f4_9890_fe2d_b53a_437bf0a2b28c_SM4993_11 is given as follows:
 11eb71f4_9890_fe2e_b53a_af9c237acff8_SM4993_00 Therefore, for time period of 
 11eb71f4_9890_fe2f_b53a_5762efa43597_SM4993_11 the current flowing into the BOX is 
 11eb71f4_9891_2540_b53a_3327da867327_SM4993_11 .
Calculate the slope of the line in between the time period of 
 11eb71f4_9891_2541_b53a_57f9d0701df6_SM4993_11 as follows:
 11eb71f4_9891_2542_b53a_1f0dc773b97e_SM4993_00 From equation (1) the value of current 
 11eb71f4_9891_2543_b53a_9f8a2c6fa068_SM4993_11 is given as follows:
 11eb71f4_9891_4c54_b53a_1f1119f57d96_SM4993_00 Therefore, for time period of 
 11eb71f4_9891_4c55_b53a_7929897edff7_SM4993_11 the current flowing into the BOX is 
 11eb71f4_9891_4c56_b53a_151df6396295_SM4993_11 .
The figure 1 shows the graph between the current 
 11eb71f4_9891_4c57_b53a_a98b7ae32f8d_SM4993_11 and time 
 11eb71f4_9891_7368_b53a_779f71c7ad3c_SM4993_11 between the time interval of 0 and 10 milliseconds as follows:
 11eb71f4_9891_7369_b53a_8b9326b7c718_SM4993_00 Figure 1
Therefore, the graph for the current flowing in the BOX is drawn.

Basic Engineering Circuit Analysis 11th Edition by David Irwin ,Robert Nelms

Basic Engineering Circuit Analysis 11th Edition by David Irwin ,Robert Nelms