A、B、t时刻有效切割长度为:L=2×
at2tan1 2
=at2tanθ 2
θ 2
回路中感应电动势为:E=BLv=Bvat2tan
,θ 2
回路总电阻为:R总=(L+2×
)R=(at2tan
at2
1 2 cos
θ 2
+θ 2
)Rat2
cos
θ 2
则感应电流大小为:I=
=E R总
t,Batan
θ 2 (tan
+θ 2
)R1 cos
θ 2
可知I∝t,故A错误,B正确.
C、D、位移x时有效切割长度为:L=2xtan
,θ 2
切割速度为:v=
2ax
回路中感应电动势为:E=BLv=Bv?2xtan
=2Bθ 2
xtan
2ax
θ 2
回路总电阻:R总=(L+2×
)R=(2xtanx cos
θ 2
+θ 2
)R2x cos
θ 2
则感应电流大小为:I=
=E R总
Btan
θ 2 (tan
+θ 2
)R1 cos
θ 2
,可知I∝
2ax
,故C正确,D错误.
x
故选:BC.